topological space

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noun Mathematics.

a set with a collection of subsets or open sets satisfying the properties that the union of open sets is an open set, the intersection of two open sets is an open set, and the given set and the empty set are open sets.

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Origin of topological space

First recorded in 1945–50

Words nearby topological space

topography, topolect, topological equivalence, topological group, topological invariant, topological space, topological transformation, topology, Topolski, toponarcosis, toponym

How to use topological space in a sentence

Space Invaders had just been introduced in America, and Atari was looking for a game that would do it one better.
‘Asteroids’ & The Dawn of the Gamer Age|David Owen|November 29, 2014|DAILY BEAST
Her very first sculpture, a metallic chrome unicorn aptly titled “Space Oracle,” sits on a pedestal directly in front.
The Tiniest Jackson Pollock|Justin Jones|November 5, 2014|DAILY BEAST
An unmanned rocket intended to deliver supplies to the International Space Station exploded on Tuesday.
Harry Potter Raps, The Catcalls Heard ‘Round the World and More Viral Videos|Alex Chancey|November 2, 2014|DAILY BEAST
These companies include SpaceX, Orbital Sciences, Sierra Nevada Space Systems, and more.
Luxembourg and China Team Up on Private Mission to the Moon|Matthew R. Francis|October 26, 2014|DAILY BEAST

It should also be noted that Space Jam did not make the cut, so you can rest easy.
Basketball Bounces Through Classic Movies|Alex Chancey, The Daily Beast Video|October 15, 2014|DAILY BEAST
And we may proceed to the remaining two of the great classes into which facts have been divided; Resemblance, and Order in Space.
A System of Logic: Ratiocinative and Inductive|John Stuart Mill
A suspense story of Tomorrow and a crisis in the advance into Space.
Space Prison|Tom Godwin
"We were going to talk about the Space Guard," Lyla said in an emotionless tone.
--And Devious the Line of Duty|Tom Godwin
I understand you wanted to talk to me about the Space Guard?
--And Devious the Line of Duty|Tom Godwin
Space will not permit going over these connections in detail.
Elements of Plumbing|Samuel Dibble

British Dictionary definitions for topological space

topological space

noun

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 τ

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012