topology

[ tuh-pol-uh-jee ]

/ təˈpɒl ə dʒi /

SEE SYNONYMS FOR topology ON THESAURUS.COM

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.

Sometimes analysis situs (for defs. 1, 2) .

Origin of topology

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

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

topological equivalence, topological group, topological invariant, topological space, topological transformation, topology, Topolski, toponarcosis, toponym, toponymy, topos

Dictionary.com UnabridgedBased 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, noun

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

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.

单词	topology
释义	topology [ tuh-pol-uh-jee ] / təˈpɒl ə dʒi / SEE SYNONYMS FOR topology ON THESAURUS.COM 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. Sometimes analysis situs (for defs. 1, 2) . Origin of topology First recorded in 1650–60; topo- + -logy 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 topological equivalence, topological group, topological invariant, topological space, topological transformation, topology, Topolski, toponarcosis, toponym, toponymy, topos Dictionary.com UnabridgedBased 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, noun 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 Words related to topology topography, geopolitics, earth science, geology, cartography, physiography, chorography 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.
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topology

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

Origin of topology

OTHER WORDS FROM topology

Words nearby topology

Example sentences from the Web for topology

British Dictionary definitions for topology

noun

Derived forms of topology

Words related to topology

Scientific definitions for topology