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1. Category Theory: Category theory has come to occupy a central position in contemporary mathematics and theoretical computer science, and is also applied to mathematical physics. Roughly, it is a general mathematical theory of structures and of systems of structures. (Philosophy) [100%] 2021-12-24
2. Category theory: Category theory is a general theory of mathematical structures and their relations that was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Category theory is used ... (General theory of mathematical structures) [100%] 2023-12-19 [Category theory] [Higher category theory]...
3. Category theory: Category theory is a branch of mathematics that studies and analyzes different types of mapping between sets. A category consists of a collection of objects, together with a collection of maps between those objects, called "morphisms", and a way to ... [100%] 2023-03-05 [Mathematics]
4. Category theory: Category theory is a general theory of mathematical structures and their relations that was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Category theory is used ... (General theory of mathematical structures) [100%] 2024-01-26 [Category theory] [Higher category theory]...
5. Category theory: Category theory is a relatively new birth that arose from the study of cohomology in topology and quickly broke free of its shackles to that area and became a powerful tool that currently challenges set theory as a foundation of ... [100%] 2024-01-26 [Category theory]
6. Category theory: Category theory is the mathematical field that studies categories, which are a certain kind of mathematical structure. Categories are found throughout mathematics, and category theory thus has many mathematical applications. [100%] 2023-06-24
7. Category theory: Category theory is a general theory of mathematical structures and their relations that was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Nowadays, category theory is ... (General theory of mathematical structures) [100%] 2023-12-18 [Category theory] [Higher category theory]...
8. Category theory: Category theory is a relatively new birth that arose from the study of cohomology in topology and quickly broke free of its shackles to that area and became a powerful tool that currently challenges set theory as a foundation of ... [100%] 2023-12-17 [Category theory]
9. Applied category theory: Applied category theory is an academic discipline in which methods from category theory are used to study other fields including but not limited to computer science, physics (in particular quantum mechanics), natural language processing, control theory, probability theory and causality ... (Applications of category theory) [81%] 2023-10-17 [Category theory]
10. Higher category theory: In mathematics, higher category theory is the part of category theory at a higher order, which means that some equalities are replaced by explicit arrows in order to be able to explicitly study the structure behind those equalities. Higher category ... (Generalization of category theory) [81%] 2023-11-17 [Foundations of mathematics] [Higher category theory]...
11. Applied category theory: Applied category theory is an academic discipline in which methods from category theory are used to study other fields including but not limited to computer science, physics (in particular quantum mechanics), natural language processing, control theory, probability theory and causality ... (Applications of category theory) [81%] 2024-07-26 [Category theory]
12. Category (in the sense of Lyusternik-Shnirel man): Lyusternik–Shnirel'man category A characteristic of a topological space $E$: the minimal number $\mathrm{cat}\,E$ of closed sets $A_i \subset E$ covering $E$, each of which can be contracted to a point by means of a continuous deformation ... (Mathematics) [78%] 2023-08-24
13. Category: A concept formalizing a number of algebraic properties of collections of morphism between mathematical objects of the same type (sets, topological spaces, groups, etc.) under the condition that these collections contain the identity mappings and are closed with respect to ... (Mathematics) [78%] 2023-12-17
14. Category (mathematics): In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is a collection of "objects" that are linked by "arrows". A category has two basic properties: the ability to compose the arrows associatively and ... (Mathematics) [78%] 2023-11-29 [Category theory] [Algebraic structures]...
15. Category: Categories, a software feature of MediaWiki, provide automatic indexes that are useful as tables of contents. You can categorize pages and files by adding one or more Category tags to the content text. (HandWiki) [78%] 2023-11-06
16. Category: A term introduced by Aristotle into the philosophical vocabulary, signifying "attribute," "predicate. According to him every word containedin a proposition belongs to one of the following ten categories: substance, quantity, quality, relation, place, time, situation, possession, action, passion. Words being ... (Jewish encyclopedia 1906) [78%] 1906-01-01 [Jewish encyclopedia 1906]
17. Category (mathematics): In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is a collection of "objects" that are linked by "arrows". A category has two basic properties: the ability to compose the arrows associatively and ... (Mathematics) [78%] 2024-01-20 [Category theory] [Algebraic structures]...
18. Category (Kant): In Immanuel Kant's philosophy, a category (German: Categorie in the original or Kategorie in modern German) is a pure concept of the understanding (Verstand). A Kantian category is a characteristic of the appearance of any object in general, before ... (Kant) [78%] 2024-01-03 [Kantianism] [Philosophical categories]...
19. Category (Kant): In Immanuel Kant's philosophy, a category (German: Categorie in the original or Kategorie in modern German) is a pure concept of the understanding (Verstand). A Kantian category is a characteristic of the appearance of any object in general, before ... (Kant) [78%] 2023-11-06 [Concepts in epistemology]
20. Category: Category, in mathematics, is a fundamental, algebraic or topological (super-, or meta-) structure formed by objects connected through arrows or morphisms into (categorical) diagrams, that has an identity arrow for each object, and is subject to certain axioms of associativity ... [78%] 2024-01-08 [Mathematics]