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# topology

[ tuh-pol-uh-jee ]

/ təˈpɒl ə dʒi /

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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 to·pol·o·gy . 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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ALL IN FAVO(U)R OF THIS BRITISH VS. AMERICAN ENGLISH QUIZ

There's an ocean of difference between the way people speak English in the US vs. the UK. Are your language skills up to the task of telling the difference? Let's find out!

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True or false? British English and American English are only different when it comes to slang words.

Rarely a·nal·y·sis si·tus [uh-nal-uh-sis sahy-tuhs, see-] /əˈnæl ə sɪs ˈsaɪ təs, ˈsi-/ (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

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

## How to use topology in a sentence

## 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.