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category theory

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(mathematics) 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.

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Two of the most highly abstract areas of modern mathematics are category theory and model theory.
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Category theory is one area of mathematics dedicated to exploring this commonality of structure as it plays out in some areas of math.
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Modern logic is divided into recursion theory, model theory, and proof theory, and is closely linked to theoretical computer science, as well as to category theory.
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For example, in category theory, a category is said to be connected if each pair of objects in it is joined by a sequence of morphisms.
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Similar ideas occur in category theory: the category of Euclidean spaces is a concrete category over the category of topological spaces; the forgetful (or "stripping") functor maps the former category to the latter category.
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The second category of theories on how polls directly affect voting is called strategic or tactical voting.
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Today algebra includes section 08-General algebraic systems, 12-Field theory and polynomials, 13-Commutative algebra, 15-Linear and multilinear algebra; matrix theory, 16-Associative rings and algebras, 17-Nonassociative rings and algebras, 18-Category theory; homological algebra, 19-K-theory and 20-Group theory.
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Many classes of algebras over a field or over a ring have a specific name: Associative algebra Non-associative algebra Lie algebra Hopf algebra C*-algebra Symmetric algebra Exterior algebra Tensor algebra In measure theory, Sigma-algebra Algebra over a set In category theory F-algebra and F-coalgebra T-algebra In logic, Relation algebra, a residuated Boolean algebra expanded with an involution called converse.
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Moral absolutism stands in contrast to other categories of normative ethical theories such as consequentialism, which holds that the morality (in the wide sense) of an act depends on the consequences or the context of the act.
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Waltz's initial contribution to the field of international relations was his 1959 book, Man, the State, and War, which classified theories of the causes of war into three categories, or levels of analysis.
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According to social identity theory, an important component of the self-concept is derived from memberships in social groups and categories.
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Role theory is a perspective in sociology and in social psychology that considers most of everyday activity to be the acting out of socially defined categories (e.g., mother, manager, teacher).
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Whereas gay/lesbian studies focused its inquiries into natural and unnatural behavior with respect to homosexual behavior, queer theory expands its focus to encompass any kind of sexual activity or identity that falls into normative and deviant categories.
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Coupled human–environment systems Capitalism-related Dependency theory Ecological modernization Economic development Economic nationalism Engaged theory Industrialisation Mercantilism Modernization Modernization theory New international division of labour Post-contemporary society Post-industrial society Postmodernism Primitive accumulation of capital Regulation theory Revolutionary socialism Sociocultural evolution World-systems theory List of globalization-related indices Corruption Perceptions Index Democracy Index Global economic indicators (category) Freedom in the World Global city Globalization Index International business development and the organization of business and trade worldwide are fundamental aspects of globalization and the development of globalizing systems.
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Her writings are based on the "theory of difference," the idea that the binary opposition between men and women is overly simplistic; although feminists have found it necessary to present the illusion of a solid, unified whole, the category of women itself is full of subdivisions.
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15 sinne gevind in 9 ms. Hulle kom uit baie bronne en word nie nagegaan nie.