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Definition of Topological space
1. Noun. (mathematics) any set of points that satisfy a set of postulates of some kind. "Assume that the topological space is finite dimensional"
Generic synonyms: Infinite, Space, Set
Category relationships: Math, Mathematics, Maths
Specialized synonyms: Subspace, Null Space, Manifold, Metric Space
Definition of Topological space
1. Noun. (topology) A set, together with a collection of its subsets that form a topology on the set. ¹
2. Noun. (context: loosely) The set itself. ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Topological Space
Literary usage of Topological space
Below you will find example usage of this term as found in modern and/or classical literature:
1. Inequalities in Statistics and Probability: Proceedings of the Symposium on by Yung Liang Tong (1984)
"5(l984), l04-l08 MARKOV'S INEQUALITY FOR RANDOM VARIABLES TAKING VALUES IN A
LINEAR topological space BY ALBERT W. MARSHALL University of British Columbia ..."
2. Invariant Measures on Groups and Their Use in Statistics by Robert A. Wijsman (1990)
"A linear topological space is a linear space in which addition and scalar
multiplication ... A Banach space is a complete normed linear topological space. ..."
3. Group Invariance Applications in Statistics by Morris L. Eaton (1989)
"Let X be a locally compact topological space (Hausdorff) for which the ...
That is, X is a topological space such that: (i) The topology is Hausdorff. ..."
4. Proceedings of the Berkeley-Ames Conference on Nonlinear Problems in Control by Louis R. Hunt, Clyde Martin (1984)
"To do this recall that a decomposition (Yi)j€1 of a topological space Y into ...
Let V be a topological space which admits a finite cellular decomposition. ..."
5. Real Analysis by Andrew M. Bruckner, Judith B. Bruckner, Brian S. Thomson (1997)
"A topological space is a pair (X,T) with X a set and T a topology on X. For example,
the open sets in a metric space X form a topology for X merely because ..."
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