
Review of Short Phrases and Links 
This Review contains major "Categories" related terms, short phrases and links grouped together in the form of Encyclopedia article.
Definitions
 Categories is a word game in which players think of words that begin with specified letters and belong to specified semantic categories.
 Categories are organized within Wikipedia into a web of knowledge starting with Category:Categories.
 Categories were first introduced by Samuel Eilenberg and Saunders Mac Lane in 19421945, in connection with algebraic topology.
 Categories are deleted, merged and renamed at Wikipedia:Categories for discussion.
 Categories are not the only way to organize articles.
 It can be formally defined as a category enriched over Cat (the category of categories and functors, with the monoidal structure given by products).
 Lexical categories are defined in terms of how their members combine with other kinds of expressions.
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 Categories in general are not defined in terms of sets; categories.
 A number of categories available  find quality websites by way of site topics.
 The category of nominal class replaces not only the category of gender, but also the categories of number and case.
 In the exercise, learners select a list of objects (lower level concepts in the hierarchy) into a number of categories (higher level concepts).
 In fact we prove the equivalence of five categories defined internally to an additive category with kernels.
 The extant works of Aristotle are broken down according to the five categories in the Corpus Aristotelicum.
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 Some scholars prefer to place the five categories in two groups, one liturgical and the other general.
 The means a clairvoyant individual learns this ability varies and can generally be broken down to one of six categories.
 Manslaughter is usually broken down into two distinct categories: voluntary manslaughter and involuntary manslaughter.
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 We’ve broken down this section on theories into the following five categories: About Learning.
 Functors can be thought of as homomorphism s between categories, or morphism s in the category of small categories.
 In the category of small categories, functor s can be thought of as morphisms.
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 Categorical groups are group objects in the category of small categories.
Cat
 The category of small categories, Cat, forms a bicategory with small categories as 0cells, functors as 1cells, and natural transformations as 2cells.
 It's really a functor Nerve: Cat  SimpSet going from the category of categories to the category of simplicial sets.
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 Two dimensional category theory is category theory based on Cat, the category of categories.
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 Note that these categories are often moved out onto a "by war" category; see the section on categorizing entire subcategories, above, for more details.
 See " On a New List of Categories " (1867), in the section appearing in CP 1.551. Regarding the ground, cf.
 I changed the "See also" reference to a "Related categories" section and added Climbing to the list.
 Category titles I've started a discussion about some reforms for the Categories for Discussion page (WP:CFD). Please take a look here.
 I don't understand though why we need to have a discussion about stubs being created, but not for categories.
 But I see you are erasing my requests to sort the new categories I started on the first character of the first name, as if we had never started a discussion.
 Vino Fino specialise in wines to suit everyone with a wide range of products in all categories.
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 A general web directory will have it's resources sorted into a large number of categories covering a wide range of topics.
 Human edited general directory offering paid inclusion within an index of categories covering a wide range of topics and global regions.
Definition
 In category theory, there is no satisfactory and generally accepted definition of embeddings that is applicable in all categories.
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 As you can probably see in the definition above, a web directory is a collection of links, organized by categories.
 Section 3: I generalise the definition of reactive system by enriching it so as to comprise two categories with a functor F between them.
 Although these categories extend the definition of myocarditis beyond the narrow confines of the Dallas criteria, this classification is now seldom used.
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 We will use the classification used by your textbook, which divides mass wasting processes into two broad categories and further subdivides these categories.
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 All categories may be subdivided into (a) solitary tumor or (b) multifocal tumor (the largest determines the classification).
 Buy from our wholesale gemstone parcels section for huge savings on bulk gemstones lots & deals, which are available at greatly discounted prices on sites.
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 The main area of the directory is for sites that are either of global interest or for US categories.
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 Directorioweb.cl is a free online directory of sites sorted on multiple categories, business, arts and all the information about Chile.
 In a bidding directory, some sites are displayed on the homepage of the site apart from their regular listings in their respective categories.
 The site has a search engine and allows the user to browse by the following subject categories: funding resources, grants, foundations and financial aid.
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 Categorization is the process of associating a document with one or more subject categories.
 The MEDLINE database, for example, uses about 17,000 subject categories (Nat 1993) to index its articles.
 Please help improve this article by adding it to one or more categories, in addition to a stub category.
 The box can show you the first paragraph of an article, whether it's tagged as a stub, how many categories it has, etc.
 The {{DEFAULTSORT}} magic word affects all categories that the article is in, regardless of the position of the magic word relative to the category.
 Accommodation in Prague hotels, pensions, apartments and hostels in all price categories.
 Categories The list of knots is extensive, but common properties allow for a useful system of categorization.
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 There has been much discussion at Wikipedia talk:Categorization and on this talk page about the best way to organize articles within categories.
 Categorization implies that objects are grouped into categories, usually for some specific purpose.
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 The notion of map is determined by the category, and this definition extends to other categories such as topological spaces.
 In category theory, filtered categories generalize the notion of directed set.
 Equalisers can be defined by a universal property, which allows the notion to be generalised from the category of sets to arbitrary categories.
 You are able to browse by categories, search on keywords, and what we think of the site including speed, picture quality, and content.
 Follow the categories until you find one that matches the content of your site.
 First, unlike many other directories, Gimpsy allows sites to be listed in several categories, which means that a site may have several links to it.
 Click through any of the categories below, or use the search box to find the web site you need.
 Please explore our categories or use the search box if you're looking for anything in particular.
 Beneath the main categories is a search box.
 Directories are usually divided into categories and you must submit your URL under the most appropriate categories.
 Browse to a couple of categories and look at the URL in the navigation bar.
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 Note: Some categories do not have "suggest URL" or "update URL" links.
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 In the "My Blog Entries" Collection, the list of available categories is available through the "href" attribute.
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 Alternatively, the app:categories element MAY contain an "href" attribute, whose value MUST be an IRI reference identifying a Category Document.
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 Exact functors are most useful in the study of Abelian categories, where they can be applied to exact sequences.
 It is far less work for editors to have categories to search that are of sufficient size to be useful, but not so big as to be overwhelming.
 Categories, homological algebra, sheaves and their cohomology furnish useful methods for attacking problems in a variety of mathematical fields.
 Naming conventions (categories) is a list of guidelines for how to appropriately name categories.
 Naming For naming conventions related to categories, see the section on naming conventions above.
 New naming conventions for specific categories of articles often arise from WikiProjects.
 On the Web, information architecture is a combination of organizing a site's content into categories and creating an interface to support those categories.
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 A human edited web and search SEO directory with various categories.Add Your Url.
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 This site has some of the best technical content on the web in several categories, including networking, markup languages, Linux, and more.
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 General directory of the web organized by topics into categories.
 Directory with alot of unique and varying links,it is a general directory with alot of different categories.
 The report provides comprehensive information on the key trends affecting these categories, and key analytical content on the market dynamics.
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 With Samuel Eilenberg he discovered the theory of categories and some of the basic ideas of homological algebra.
 The axiomatization of abelian categories was intended to capture some of the useful properties of categories in homological algebra.
 The language of categories and functors was originally introduced to meet the needs of algebraic topology and homological algebra [a1], [a4].
 You can read a bunch about them in the bible of category theory: 9) Categories for the Working Mathematician, by Saunders Mac Lane, Springer, Berlin, 1988.
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 There are hundreds of different varieties of tea made from the tea bush, Camellia sinensis, but almost all of them* fall into three main categories.
 Although there are hundreds of varieties of Chinese tea, they can mainly be classified into six categories: white, green, oolong, black, puer, and scented.
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 Free Web Directory domaining.in, lists only quality websites in hundreds of categories.
 Human edited and reviewed directories of website listings sorted by relevant topic and world location into categories.
 General paid for inclusion index of human edited website listings sorted by topic and world location into searchable categories.
 In general, grants fall into four main categories: federal, state, corporate, and foundation.
 Irregular bones are all others that do not fall into the previous categories.
 Irregular bones do not fit into the above categories.
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 Bones fall into four main categories according to their size and shape (see flat bones, irregular bones, long bones, short bones).
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 I think the stub types and categories aren't specific enough at the moment, and the music stubs in general are infact very unspecific and unsorted.
 The To do page has a section that lists the most populated stub types as of the last time a bot is run that checks the stub categories for size.
 Upmerge A term frequently used on categories for discussion and stub types for deletion, it means "merge into parent category".
 All other templates or categories nominated for deletion or renaming have to be put on Templates for discussion or Categories for discussion, respectively.
 Wikipedia:WikiProject Deletion sorting is a new effort that attempts to classify various articles nominated for votes for deletion by major categories.
 One can then form a category whose objects are all small categories and whose morphisms are adjunctions.
 All the main results follow from a basic result about adjunctions between `categories of algebras' (inserters).
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 The heteromorphic theory shows that all adjunctions arise from the birepresentations of the heteromorphisms between the objects of different categories.
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 The adjunction between topological spaces and locales restricts to an equivalence of categories between sober spaces and spatial locales.
 For this reason, an adjunction may be considered an even weaker form of equivalence of categories.
 This relationship is captured via an adjunction between the categories of monoids in V and monoidal categories over V.
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 In category theory, a branch of mathematics, a functor is a special type of mapping between categories.
 Like many categories in mathematics, the category of rings is large, meaning that the class of all rings is proper.
 Unlike many categories studied in mathematics, there do not always exist morphisms between pairs of objects in Ring.
 Categories with all finite products and exponential objects are called cartesian closed categories.
 Bicartesian closed categories extend cartesian closed categories with binary coproducts and an initial object, with products distributing over coproducts.
 In category theory, Apply is important in Cartesian closed categories, where it is a universal morphism, right adjoint to currying.
Subcategories
 The notion that articles should not be listed in categories and subcategories strikes me as an artifact left over from libraries.
 For categories that need to be sorted into subcategories, see Category:Very large categories.
 A web directory organizes its sites according to various categories and subcategories.
 Some categories may need to be split because they are both primary categories and navigational categories.
 In most cases there will not be any other articles with the same set of primary categories.
 Since primary categories will be fully populated, they will also function as a complete index of their topic.
 SEO Web Link is a SEO Friendly and human edited directory.We are offering a comprehensive categories with regular listing,featured and reciprocal.
 Many categories to choose from, seo friendly and humanly edited.
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 The directory has a number of categories to accommodate listings.
 The Web directory is organized by topics into categories and offers regular as well as featured listings.
 In general, editors are more willing to accept sites into categories that have relatively few listings.
 These (Grothendieck) topoi have been shown by Joyal and Tierney to correspond to categories of sheaves on an étale localic groupoid.
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 Goldblatt, R (1984) Topoi: the Categorial Analyis of Logic A clear introduction to categories, with particular emphasis on the recent applications to logic.
 Special categories called topoi can even serve as an alternative to axiomatic set theory as the foundation of mathematics.
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 In mathematics, there is an ample supply of categorical dualities between certain categories of topological spaces and categories of partially ordered sets.
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 This construction makes all sheaves into representable functors on certain categories of topological spaces.
 Certain categories called topoi (singular topos) can even serve as an alternative to axiomatic set theory as a foundation of mathematics.
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 The categories must be mutually exclusive; that is, a subject can belong to one and only one of the groups indicated by the categorical variable.
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 In that case we have only three categories: rotations, translations, and glide reflections, which are mutually exclusive except for the identity.
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Categories
 Information > Knowledge > Categorization > Category
 Encyclopedia of Keywords > Information > Reference > Articles
 Information > Reference > Encyclopedias > Wikipedia
 Computers > Internet > Web > Directory
 Fall
Subcategories
Related Keywords
* Articles
* Capitaloneround
* Category
* Classes
* Description
* Different Categories
* Directories
* Directory
* Equivalence
* Equivalences
* Fall
* Four Categories
* General
* General Categories
* General Web Directory
* Grammatical Categories
* Groups
* Human
* Information
* Link
* Links
* List
* Lists
* Main Categories
* Objects
* Page
* Pages
* People
* Quality Sites
* Search
* Searchable Directory
* Set
* Sets
* Several Categories
* Structure
* SubCategories
* Theory
* Three Categories
* Topic
* Topics
* Types
* Variable
* Variables
* Wikipedia
* Wikipedians

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