CATEGORYTHEORY

Category theory

Category theory is used to formalize mathematics and its concepts as a collection of objects and arrows . Category theory can be used to formalize concepts of other high-level abstractions such as set theory, field theory, and group theory. Several terms used in category theory, including the term "morphism", differ from their uses within mathematics itself. In category theory, a "morphism" obeys a set of conditions specific to category theory itself. Thus, care must be taken to understand the context in which statements are made.

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category theory

Noun

  1. A branch of mathematics which deals with spaces and maps between them in abstraction, taking similar theorems from various disparate more concrete branches of mathematics and unifying them.


The above text is a snippet from Wiktionary: category theory
and as such is available under the Creative Commons Attribution/Share-Alike License.

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