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topological space::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Synonyms | mathematical space |
| Type of | set, space, infinite |
| Has types | subspace, manifold, metric space, null space |
assume that the topological space is finite dimensional.
Examples of topological space
topological space
A metric space is now considered a special case of a general topological space.
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A topological space in which the points are functions is called a function space.
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Thus every premetric space is a topological space, and in fact a sequential space.
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This topological space is not considered as being a subspace of another space.
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A self-homeomorphism is a homeomorphism of a topological space and itself.
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A variety of topologies can be placed on a set to form a topological space.
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If a set is given a different topology, it is viewed as a different topological space.
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Even more generally, one can study sequences with elements in some topological space.
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A curve is a topological space which is locally homeomorphic to a line.
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