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category of pairs

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  • Category 3 cable — Category 3 cable, commonly known as Cat 3, is an unshielded twisted pair (UTP) cable designed to reliably carry data up to 10 Mbit/s, with a possible bandwidth of 16 MHz. It is part of a family of copper cabling standards defined jointly by the… …   Wikipedia

  • Category 7 cable — (CAT7), (ISO/IEC 11801:2002 category 7/class F), is a cable standard for Ethernet and other interconnect technologies that can be made to be backwards compatible with traditional CAT5 and CAT6 Ethernet cable. CAT7 features even more strict… …   Wikipedia

  • Category 6 cable — Category 6 cable, commonly referred to as Cat 6, is a cable standard for Gigabit Ethernet and other network protocols that is backward compatible with the Category 5/5e and Category 3 cable standards. Cat 6 features more stringent specifications… …   Wikipedia

  • Category (mathematics) — In mathematics, a category is an algebraic structure that comprises objects that are linked by arrows . A category has two basic properties: the ability to compose the arrows associatively and the existence of an identity arrow for each object. A …   Wikipedia

  • Category theory — In mathematics, category theory deals in an abstract way with mathematical structures and relationships between them: it abstracts from sets and functions to objects and morphisms . Categories now appear in most branches of mathematics and in… …   Wikipedia

  • Category of rings — In mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms (preserving the identity). Like many categories in mathematics, the category of rings is… …   Wikipedia

  • Category 1-5 —    The Electronics Industry Association/Telecommunications Industry Association (EIA/TIA) 586 cabling standards, sometimes abbreviated CAT 1 5, as follows:    • Category 1    For unshielded twisted pair (UTP) telephone cable. This cable may be… …   Dictionary of networking

  • Category of elements — In category theory, for every presheaf P inhat C := mathbf{Set}^{C^{op the category of elements mathbf{El}(P) of P is the category defined as follows: * its objects are pairs (A,a) where A is an object of C and ain P(A), * its morphisms (A,a) o… …   Wikipedia

  • Characterizations of the category of topological spaces — In mathematics, a topological space is usually defined in terms of open sets. However, there are many equivalent characterizations of the category of topological spaces. Each of these definitions provides a new way of thinking about topological… …   Wikipedia

  • Comma category — In mathematics, a comma category (a special case being a slice category) is a construction in category theory. It provides another way of looking at morphisms: instead of simply relating objects of a category to one another, morphisms become… …   Wikipedia

  • Product category — In the mathematical field of category theory, the product of two categories C and D , denoted nowrap| C × D and called a product category, is a straightforward extension of the concept of the Cartesian product of two sets.DefinitionThe product… …   Wikipedia

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