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1. 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) [100%] 2023-08-24
2. 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) [100%] 2023-12-17
3. 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) [100%] 2023-11-29 [Category theory] [Algebraic structures]...
4. 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) [100%] 2023-11-06
5. 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) [100%] 1906-01-01 [Jewish encyclopedia 1906]
6. 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) [100%] 2024-01-20 [Category theory] [Algebraic structures]...
7. 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) [100%] 2024-01-03 [Kantianism] [Philosophical categories]...
8. 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) [100%] 2023-11-06 [Concepts in epistemology]
9. 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 ... [100%] 2024-01-08 [Mathematics]
10. Category: In philosophy the notion of categories derives from Aristotle’s (384-322 B.C.E.) logic and ontology. In logic the categories are understood to be the predicate of a proposition, and in ontology they are the ultimate kinds or ... [100%] 2023-02-04
11. Category: Category, a term used both in ordinary language and in philosophy with the general significance of “class” or “group. In popular language it is used for any large group of similar things, and still more generally as a mere synonym ... [100%] 2022-09-02
12. Categoría (Kant): En la filosofía de Immanuel Kant, una categoría (Categorie en el original o Kategorie en alemán moderno) es un concepto puro del entendimiento (Verstand). Una categoría kantiana es una característica de la apariencia de cualquier objeto en general, antes de ... (Kant) [75%] 2024-02-02
13. Catenary: Catenary, in mathematics, the curve assumed by a uniform chain or string hanging freely between two supports. It was investigated by Galileo, who erroneously determined it to be a parabola; Jungius detected Galileo’s error, but the true form was ... [75%] 2022-09-02
14. Catenary: The plane transcendental curve describing the form of a homogeneous flexible string of fixed length and with fixed ends attained under the action of gravity (see Fig.). Figure: c020790a In Cartesian coordinates its equation is $$ y= \frac{a}{2} \left ... (Mathematics) [75%] 2023-12-19
15. Categoría (matemáticas): En teoría de categorías, una categoría es una estructura algebraica que consta de una colección de objetos, conectados unos con otros mediante flechas tales que se cumplen las siguientes propiedades básicas: las flechas se pueden componer unas con otras de ... (Matemáticas) [75%] 2024-01-10
16. Small category: A category $\mathfrak{K}$ whose class of morphisms $\text{Mor}\,\mathfrak{K}$ is a set. A small category $\mathfrak{K}$ is called a $U$-category if $\text{Mor}\,\mathfrak{K} \subset U$, where $U$ is a universe. (Mathematics) [70%] 2023-10-23
17. 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) [70%] 2021-12-24
18. Free category: In mathematics, the free category or path category generated by a directed graph or quiver is the category that results from freely concatenating arrows together, whenever the target of one arrow is the source of the next. More precisely, the ... [70%] 2023-10-08 [Free algebraic structures]
19. Abelian category: In mathematics, an abelian category is a category in which morphisms and objects can be added and in which kernels and cokernels exist and have desirable properties. The motivating prototypical example of an abelian category is the category of abelian ... (Category with direct sums and certain types of kernels and cokernels) [70%] 2023-12-11 [Additive categories] [Homological algebra]...
20. Physics: . [70%] 2023-02-04