relative topology

  • 1relative 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. * * * …

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  • 2relative 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 …

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  • 3topology — topologic /top euh loj ik/, topological, adj. topologically, adv. topologist, n. /teuh pol euh jee/, n., pl. topologies for 3. Math. 1. the study of those properties of geometric forms that remain invariant under c …

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  • 4Relative — can refer to: *Kinship, the principle binding the most basic social units society. If two people are connected by circumstances of birth, they are said to be relatives Physics*Relativity as a concept in physics (for example Albert Einstein s… …

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  • 5Relative homology — In algebraic topology, a branch of mathematics, the (singular) homology of a topological space relative to a subspace is a construction in singular homology, for pairs of spaces. The relative homology is useful and important in several ways.… …

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  • 6Relative contact homology — In mathematics, in the area of symplectic topology, relative contact homology is an invariant of spaces together with a chosen subspace. Namely, it is associated to a contact manifold and one of its Legendrian submanifolds. It is a part of a more …

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  • 7Subspace 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 …

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  • 8induced topology — Math. See relative topology. * * * …

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  • 9subspace topology — Math. See relative topology. * * * …

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  • 10induced topology — Math. See relative topology …

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