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topology

[ tuh-pol-uh-jee ]
/ t蓹藞p蓲l 蓹 d蕭i /
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noun, plural to路pol路o路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路pol路o路gy . the study of limits in sets considered as collections of points.
a collection of open sets making a given set a topological space.
QUIZ
SHALL WE PLAY A "SHALL" VS. "SHOULD" CHALLENGE?
Should you take this quiz on 鈥渟hall鈥 versus 鈥渟hould鈥? It should prove to be a quick challenge!
Question 1 of 6
Which form is commonly used with other verbs to express intention?
Rarely a路nal路y路sis si路tus [uh-nal-uh-sis sahy-tuhs, see-] /蓹藞n忙l 蓹 s瑟s 藞sa瑟 t蓹s, 藞si-/ (for defs. 1, 2) .

Origin of topology

First recorded in 1650鈥60; topo- + -logy

OTHER WORDS FROM topology

top路o路log路ic [top-uh-loj-ik], /藢t蓲p 蓹藞l蓲d蕭 瑟k/, top路o路log路i路cal, adjectivetop路o路log路i路cal路ly, adverbto路pol路o路gist, noun
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, 漏 Random House, Inc. 2022

How to use topology in a sentence

British Dictionary definitions for topology

topology
/ (t蓹藞p蓲l蓹d蕭瑟) /

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 (藢t蓲p蓹藞l蓲d蕭瑟k) or topological, adjectivetopologically, adverbtopologist, noun
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition 漏 William Collins Sons & Co. Ltd. 1979, 1986 漏 HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Scientific definitions for topology

topology
[ t蓹-p艔l蓹-j膿 ]

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庐 Science Dictionary Copyright 漏 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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