# Topological Space In A Sentence

Learn how to use Topological Space in a sentence and make better sentences with word `Topological Space` by reading from 27 Topological Space sentence examples.

- A
**topological****space**is locally metrizable Hausdorff space. - As a
**topological****space**, the real numbers are separable. - The density of a
**topological****space**is a topological invariant. - This work concentrated on the domain is a given
**topological****space**. - Every metric space is therefore, in a natural way, a
**topological****space**. - An arbitrary union of open sets in a
**topological****space**is open. - Even more generally, one can study sequences with elements in some
**topological****space**. - A
**topological****space**is said to be disjoint subsets have disjoint compact closures. - Structure must definitely include
**topological****space**as well as the standard abstract algebra notions. - Let X be a
**topological****space**, and f colon X to X a homeomorphism. - The concept of -generalized convex set-valued map is defined in linear
**topological****space**. - A square is a contractible
**topological****space**, which implies that it has trivial homology. - The structure of a
**topological****space**may be defined as an closed set topology. - A
**topological****space**is preregular if and only if its Kolmogorov quotient is Hausdorff. - After this identification, we arrive at a
**topological****space**homeomorphic to the rotation group. - Schemata are a special case of cylinder sets, and hence form a
**topological****space**. - The relation of being homotopic is an equivalence relation on paths in a
**topological****space**. - This paper not only gives a kind of
**topological****space**with path connected base, i. - It is supposed to illustrate how a
**topological****space**can be associated with a vector space. - Through discussing the separation axiom of
**topological****space**, we can get the relation - chain of separation axioms. - In this note two generality theorems on
**topological****space**theory are established, they improve several theorems of Gao Guoshi. - Based on several examples, this paper introduces several kinds of particular
**topological****space**construction, which brought a series of conclusion. - Under meager point-set hypotheses, namely indiscrete
**topological****space**show that not all topological spaces can be expressed using Grothendieck topologies. - There are several inequivalent definitions of Baire sets, so correspondingly there are several inequivalent concepts of Baire measure on a
**topological****space**. - The method herein used is of creativeness. The conclusion reached is also of real plenitude to the theoretical basis about
**topological****space**. - There are, however, some subtleties to consider when dealing with general distributions defined on a sigma algebra, rather than on a
**topological****space**. - Some new generalized L-KKM type theorems are proves in a
**topological****space**with property(H), furthermore, matching theorems with open cover are obtained.

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