# topology

[ tuh-pol-uh-jee ]

/ təˈpɒl ə dʒi /

### noun, plural to·pol·o·gies for 3. Mathematics.

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.

## RELATED WORDS

## Nearby words

- topological equivalence,
- topological group,
- topological invariant,
- topological space,
- topological transformation,
- topolski,
- toponarcosis,
- toponym,
- toponymic,
- toponymy

## Origin of topology

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

## Examples from the Web for topology

“Fade is a function of geography and topology,” the graybeard said quietly.

Someone Comes to Town, Someone Leaves Town|Cory Doctorow

## topology

/ (təˈpɒlədʒɪ) /

### noun

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

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

## topology

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

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.

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