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point set topology

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Point Set Topology
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to⋅pol⋅o⋅gy

  [tuh-pol-uh-jee]
–noun, plural -gies 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:
1650–60; topo- + -logy

Related forms:
top⋅o⋅log⋅ic  [top-uh-loj-ik] , top⋅o⋅log⋅i⋅cal, adjective
top⋅o⋅log⋅i⋅cal⋅ly, adverb
to⋅pol⋅o⋅gist, noun
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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Medical Dictionary

Main Entry: to·pol·o·gy
Pronunciation: t&-'päl-&-jE, tä-
Function: noun
Inflected Form: plural -gies
1 : REGIONAL ANATOMY
2 : CONFIGURATION 1 topology> topology of a molecule> —topo·log·i·cal /"täp-&-'läj-i-k&l/ also topo·log·ic /-ik/ adjective
Merriam-Webster's Medical Dictionary, © 2002 Merriam-Webster, Inc.
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Science Dictionary
topology   (tə-pŏl'ə-jē)  Pronunciation Key 
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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