# 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.

## QUIZZES

#### DO YOU KNOW THIS VOCABULARY FROM "THE HANDMAID'S TALE"?

"The Handmaid's Tale" was required reading for many of us in school. Everyone else has probably watched the very popular and addictive TV show. Do you remember this vocabulary from the book, and do you know what these terms mean?

Question 1 of 10

decorum

## OTHER WORDS FROM topology

top·o·log·ic [top-uh-loj-ik] /ˌtɒp əˈlɒdʒ ɪk/, top·o·log·i·cal, adjectivetop·o·log·i·cal·ly, adverbto·pol·o·gist, noun## Words nearby topology

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020

## Example sentences 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

## British Dictionary definitions for topology

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

## Derived forms of topology

topologic (ˌtɒpəˈlɒdʒɪk) or topological, adjectivetopologically, adverbtopologist, nounCollins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for topology

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.