subspace topology
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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
subspace topology — Math. See relative topology … Useful english dictionary
Subspace — may refer to:;Mathematics * Euclidean subspace, in linear algebra, a set of vectors in n dimensional Euclidean space that is closed under addition and scalar multiplication. * Linear subspace, in linear algebra, a subset of a vector space that is … Wikipedia
Topology — (Greek topos , place, and logos , study ) is the branch of mathematics that studies the properties of a space that are preserved under continuous deformations. Topology grew out of geometry, but unlike geometry, topology is not concerned with… … Wikipedia
subspace — /sub spays /, n. 1. a smaller space within a main area that has been divided or subdivided: The jewelry shop occupies a subspace in the hotel s lobby. 2. Math. a. a subset of a given space. b. Also called linear manifold. a subset of a vector… … Universalium
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
Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… … Wikipedia
Extension topology — In topology, a branch of mathematics, an extension topology is a topology placed on the disjoint union of a topological space and another set. There are various types of extension topology, described in the sections below. Contents 1 Extension… … Wikipedia
Initial topology — In general topology and related areas of mathematics, the initial topology (projective topology or weak topology) on a set X, with respect to a family of functions on X, is the coarsest topology on X which makes those functions continuous.The… … Wikipedia
Product topology — In topology and related areas of mathematics, a product space is the cartesian product of a family of topological spaces equipped with a natural topology called the product topology. This topology differs from another, perhaps more obvious,… … Wikipedia
