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category
category
category A collection of
objects A, together with a related set of
morphisms M. An object is a generalization of a
set and a morphism is a generalization of a
function that maps between sets.
The set
M is the
disjoint union of sets of the form [
A,
B], where
A and
B are elements of
A; if α is a member of [
A,
B],
A is the
domain of α,
B is the
codomain of α, and α is said to be a morphism from
A to
B. For each triple (
A,
B,
C) of elements of
A there is a
dyadic operation ◦ from the
Cartesian product [
B,
C] × [
A,
B]
to [
A,
C]. The image β◦α of the ordered pair (β,α) is the
composition of β with α; the composition operation is
associative. In addition, when the composition is defined there is an
identity morphism for each
A in
A.
Examples of categories include the set of
groups and
homomorphisms on groups, and the set of
rings and homomorphisms on rings. See
functor.
Cite this article
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Learning categories by making predictions: An investigation of indirect category learning
Magazine article from: Memory & Cognition; 12/1/2004; ; 700+ words
; Categories are learned...studies of category learning have...participants learned categories of animals...as indirect category learning...Learning about categories and making...object's category membership...
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Category Captainship: Who Wins, Who Loses?
Magazine article from: ECR Journal : International Commerce Review; 7/1/2005; ; 700+ words
; ...management to a chosen category captain: a supplier...increasing number of product categories offered by retailers...intensive nature of category management have given...expertise in managing their categories and delivering consumer...collaboration. However, category captainship does ...
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CATEGORY MANAGEMENT JUST ANOTHER BUSINESS FAD?
Magazine article from: HFN The Weekly Newspaper for the Home Furnishing Network; 9/7/1998; ; 700+ words
; ...contemplating Category Management in categories historically...and managing categories of merchandise. Others defined Category Management as...management of categories, rather than...Some defined Category Management as...
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Category 5 Technologies, Inc. Acquires Bottomline Online, Inc.
PR Newswire; 2/28/2002; 700+ words
; SALT LAKE CITY -- Category 5 Technologies, Inc. (BULLETIN BOARD...stock exchange. The acquisition gives Category 5 next-generation storefront building...are thrilled to become part of the Category 5 team," said Tony Graf, CEO of...
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Category B credits phasing out.(asrt news)(continuing education for radiology technologists)
Magazine article from: ASRT Scanner; 6/1/2007; ; 700+ words
; ...Radiologic Technologists no longer will accept Category B credit as part of the 24 credits required...for the upcoming change. What Does the Category B Phase-out Mean to R.T.s? Quite...the ARRT's CE requirements must be Category A credit that has been assigned to an...
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Category Colonels speak out: we asked the questions, and our winners responded.(2003 results)
Magazine article from: Private Label Buyer; 7/1/2003; ; 700+ words
; When we asked this year's Category Colonels to give us their 'two cents...clear there are a few issues where Category Colonels across the board generally...demands from retailers, however, many Category Colonels pointed to the realization...
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Category management: a proven way to select the mix that really drives profits; category management is a product management system that bases selections on sales data. The principles benefit all size companies, provided the employees believe in it. (Business basics: fundamentals for small and medium size businesses).
Magazine article from: Automatic Merchandiser; 4/1/2003; ; 700+ words
; ...Identify product categories. 2) Allocate space to each category. 3) Decide...products for each category. Operators...10 suggested categories. Product groups...But the more categories identified...simple. Each category gets at least...
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The category trap: when industry boundaries get cloudy.(Editorial)
Magazine article from: Electronic Business; 9/1/2004; ; 700+ words
; ...That's when a category becomes a trap...attachments to familiar categories and reexamine what...into thinking that categories are static. Clever...of conventional categories. That's how you get out of the category trap. What are...
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New categories for a new millennium.
M2 Presswire; 4/18/2000; 700+ words
; ...bafta.org The new categories for 2000 are as...Complements the Learning category, also sponsored...BAFTA Interactive categories. Sports Recognises...year's games category has been split into three distinct categories. This reflects...
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CATEGORY MANAGEMENT.
Magazine article from: HFN The Weekly Newspaper for the Home Furnishing Network; 9/7/1998; 700+ words
; ...strong regional grocery chain with 300 stores, has decided to deploy a Category Management program in its food storage category. Rick has been appointed to be the retail category manager for food storage. Although Retailer A has used Category Management...
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category
Book article from: A Dictionary of Sociology
category A key aspect of the measurement...measurements into groups or categories on the basis of unequivocally shared features. Hence a category is a homogeneous grouping...x2019; would have two categories, male and female; the variable...
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successive categories or intervals
Book article from: A Dictionary of Sociology
successive categories or intervals A method of data...terms of an ordinal scale of categories, such as the five-category bipolar scale ‘wholly...The method allows both the category intervals and the items to be...
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category killer
Book article from: A Dictionary of Business and Management
category killer ( category discounter ) An exceptionally aggressive off-price retailer that offers branded merchandise in clearly defined product categories at heavily discounted prices. Their predatory pricing strategy...
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social categories
Book article from: A Dictionary of Sociology
social categories See CATEGORY .
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GRAMMATICAL CATEGORY
Book article from: Concise Oxford Companion to the English Language
GRAMMATICAL CATEGORY. In LINGUISTICS , a class of units such as noun , verb , prepositional phrase , finite...relationships between the parts of a sentence or clause, are often termed functional categories . See PART OF SPEECH .
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