# 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

#### IT’S A WORD OF THE DAY QUIZ BONANZA!

This windfall of words will make you rich with knowledge. Mine your memory on the words from July 27 to August 2!

Question 1 of 7

What does "scattergood" mean?

a person who acts as though he or she knows everything and who dismisses the opinions, comments, or suggestions of others.

a person who spends possessions or money extravagantly or wastefully; spendthrift.

a well-intentioned but naive and often ineffectual social or political reformer.

TAKE THE QUIZ TO FIND OUTSometimes analysis situs (for defs. 1, 2) .

## 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.