Euclidean space

(redirected from Euclidean topology)
Also found in: Thesaurus, Encyclopedia.

Euclid′ean space′

ordinary two- or three-dimensional space.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.Euclidean space - a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
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.
euklidovský prostor
espacio euclideoespacio euclídeoespacio euclidiano
euklidinen avaruus
euklidski prostor
euklidiskt rum
References in periodicals archive ?
In sections on Euclidean topology, abstract topology with applications, and basic algebraic topology he covers metric topology in Euclidean space, vector fields in the plane, abstract point-set topology, surfaces, applications in graphs and knots, the fundamental group, and introduction to homology.
Then [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a neighborhood base of [theta] under Euclidean topology [T.sub.E] , and {[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a neighborhood base of [theta] under strong topology T.