topologically

topology

[tuh-pol-uh-jee]
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 set topology">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

topologic [top-uh-loj-ik] , topological, adjective
topologically, adverb
topologist, noun
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Collins
World English Dictionary
topology (təˈpɒlədʒɪ)
 
n
1.  the branch of mathematics concerned with generalization of the concepts of continuity, limit, etc
2.  Former name: analysis situs a branch of geometry describing the properties of a figure that are unaffected by continuous distortion, such as stretching or knotting
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
 
topologic
 
adj
 
topo'logical
 
adj
 
topo'logically
 
adv
 
to'pologist
 
n

Collins English Dictionary - Complete & Unabridged 10th Edition
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American Heritage
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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