topological space

Definitions of topological space
1

n (mathematics) any set of points that satisfy a set of postulates of some kind

“assume that the topological space is finite dimensional”
Synonyms:
mathematical space
Types:
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subspace
a space that is contained within another space
null space
a space that contains no points; and empty space
manifold
a set of points such as those of a closed surface or an analogue in three or more dimensions
metric space
a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality
Euclidean space
a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
Hilbert space
a metric space that is linear and complete and (usually) infinite-dimensional
Type of:
infinite, space
the unlimited expanse in which everything is located
set
(mathematics) an abstract collection of numbers or symbols

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