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topology

[tuh-pol-uh-jee] /təˈpɒl ə dʒi/
noun, plural topologies for 3. Mathematics
1.
the study of those properties of geometric forms that remain invariant under certain transformations, as bending or stretching.
2.
Also called point set topology. the study of limits in sets considered as collections of points.
3.
a collection of open sets making a given set a topological space.
Origin
1650-1660
1650-60; topo- + -logy
Related forms
topologic
[top-uh-loj-ik] /ˌtɒp əˈlɒdʒ ɪk/ (Show IPA),
topological, adjective
topologically, adverb
topologist, noun
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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British Dictionary definitions for top ology

topology

/təˈpɒlədʒɪ/
noun
1.
the branch of mathematics concerned with generalization of the concepts of continuity, limit, etc
2.
a branch of geometry describing the properties of a figure that are unaffected by continuous distortion, such as stretching or knotting Former name analysis situs
3.
(maths) a family of subsets of a given set S, such that S is a topological space
4.
the arrangement and interlinking of computers in a computer network
5.
the study of the topography of a given place, esp as far as it reflects its history
6.
the anatomy of any specific bodily area, structure, or part
Derived Forms
topologic (ˌtɒpəˈlɒdʒɪk), topological, adjective
topologically, adverb
topologist, noun
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
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Word Origin and History for top ology

topology

n.

1610s (implied in topological), from topo-, comb. form of Greek topos "place" (see topos) + -logy.

Online Etymology Dictionary, © 2010 Douglas Harper
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top ology in Science
topology
  (tə-pŏl'ə-jē)   
The mathematical study of the geometric properties that are not normally affected by changes in the size or shape of geometric figures. In topology, a donut and a coffee cup with a handle are equivalent shapes, because each has a single hole.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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