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topological space Line breaks: topo|logic¦al space

Definition of topological space in English:


A 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.
Example sentences
  • 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.’
Definition of topological space in:
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