induced topology

induced topology

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Universalium. 2010.

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  • induced topology — Math. See relative topology …   Useful english dictionary

  • Induced homomorphism (fundamental group) — In mathematics, especially in the area of topology known as algebraic topology, the induced homomorphism is a group homomorphism related to the study of the fundamental group.DefinitionLet X and Y be topological spaces; let x 0 be a point of X… …   Wikipedia

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  • Induced homomorphism — In mathematics, an induced homomorphism is a structure preserving map between a pair of objects that is derived in a canonical way from another map between another pair of objects. A particularly important case arises in algebraic topology, where …   Wikipedia

  • Subspace topology — In topology and related areas of mathematics, a subspace of a topological space X is a subset S of X which is equipped with a natural topology induced from that of X called the subspace topology (or the relative topology, or the induced topology …   Wikipedia

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  • relative topology — Math. a topology of a subset of a topological space, obtained by intersecting the subset with every open set in the topology of the space. Also called induced topology, subspace topology. * * * …   Universalium

  • relative topology — Math. a topology of a subset of a topological space, obtained by intersecting the subset with every open set in the topology of the space. Also called induced topology, subspace topology …   Useful english dictionary

  • Order topology — In mathematics, an order topology is a certain topology that can be defined on any totally ordered set. It is a natural generalization of the topology of the real numbers to arbitrary totally ordered sets. If X is a totally ordered set, the order …   Wikipedia

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