# topological space

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Related to topological space: metric space

## topological space

*n.*

A set of points together with a topology defined on them.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## topological space

*n*

(Mathematics)

*maths*a set*S*with an associated family of subsets τ that is closed under set union and finite intersection.*S*and the empty set are members of τCollins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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Noun | 1. | topological space - (mathematics) any set of points that satisfy a set of postulates of some kind; "assume that the topological space is finite dimensional"infinite, space - the unlimited expanse in which everything is located; "they tested his ability to locate objects in space"; "the boundless regions of the infinite" math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement set - (mathematics) an abstract collection of numbers or symbols; "the set of prime numbers is infinite" 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 |

Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

Translations

**topologický prostor**

**topologisk rum**

**topologinen avaruus**

**espace topologique**

**topološki prostor**

**spazio topologico**

**espaço topológico**

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