# topology

[tuh-pol-uh-jee]

- the study of those properties of geometric forms that remain invariant under certain transformations, as bending or stretching.
- Also called point set topology. the study of limits in sets considered as collections of points.
- a collection of open sets making a given set a topological space.

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## Origin of topology^{}

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

# topology

- the branch of mathematics concerned with generalization of the concepts of continuity, limit, etc
- a branch of geometry describing the properties of a figure that are unaffected by continuous distortion, such as stretching or knottingFormer name: analysis situs
- maths a family of subsets of a given set S, such that S is a topological space
- the arrangement and interlinking of computers in a computer network
- the study of the topography of a given place, esp as far as it reflects its history
- the anatomy of any specific bodily area, structure, or part

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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

## Word Origin and History for topologically

# topology

Online Etymology Dictionary, © 2010 Douglas Harper

# 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.

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The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.