 # 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.