Basic Guidelines For English Spellings

READ THESE ARTICLES# Definition of *topological space* in English:

## topological space

### noun

MathematicsA space which has an associated family of subsets that constitute a topology. The relationships between members of the space are mathematically analogous to those between points in ordinary two- and three-dimensional space.

*‘He used the notion of a limit point to give closure axioms to define a topological space.’**‘In a well-known textbook on the subject we find a continuum defined as a compact connected subset of a topological space.’**‘A blunder occurs on page 182 when he wants to define separability of a topological space as referring to a countable base but instead says, ‘A topological space X is separable if it has a countable open covering.’’**‘Moore's regions would ultimately become open sets that form a basis for a topological space X.’**‘The mathematicians in Göttingen were particularly impressed with their results on when a topological space is metrisable.’**‘This first work was related to their results on conditions for a topological space to be metrisable.’**‘He called this topological space the structure space of R.’**‘These are then applied to the topological space of the surface geometry.’**‘But it is also a generalized topological space and thus provides a direct connection between logic and geometry.’**‘In further papers, published in 1936, he defined cohomology groups for an arbitrary locally compact topological space.’*

**Pronunciation**

Are You Learning English? Here Are Our Top English Tips