to·​pol·​o·​gy | \ tə-ˈpä-lə-jē How to pronounce topology (audio) , tä- \
plural topologies

Definition of topology

1 : topographic study of a particular place specifically : the history of a region as indicated by its topography
2a(1) : a branch of mathematics concerned with those properties of geometric configurations (such as point sets) which are unaltered by elastic deformations (such as a stretching or a twisting) that are homeomorphisms
(2) : the set of all open subsets of a topological space
b : configuration topology of a molecule topology of a magnetic field

Other Words from topology

topologist \ tə-​ˈpä-​lə-​jist How to pronounce topology (audio) , tä-​ \ noun

Examples of topology in a Sentence

Recent Examples on the Web Having resolved one mystery in topology’s toughest dimension, mathematicians must now stare down another. Quanta Magazine, 26 Oct. 2021 One of the most basic invariants in topology involves cutting up a surface into uniform triangular tiles. Quanta Magazine, 26 Oct. 2021 To perform this final move, Freedman drew on techniques from an area of math called Bing topology, after the mathematician R.H. Bing, who developed it in the 1940s and ’50s. Quanta Magazine, 9 Sep. 2021 These distinctions scaffold the grand classification project of topology. Quanta Magazine, 28 Sep. 2021 The lectures, which Freedman delivered by video feed from his office in Santa Barbara, were an event unto themselves in the topology world. Quanta Magazine, 9 Sep. 2021 These are, effectively, hypergraphs viewed through the framework of topology. Quanta Magazine, 19 Aug. 2021 The definitions sprawled across many areas of math, from algebra to topology to geometry. Quanta Magazine, 1 Oct. 2020 To try to understand the topology of vein architecture, Katifori and Magnasco built a simple network model trying to capture its essential features. Emily Singer, Scientific American, 20 Aug. 2013

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'topology.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

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First Known Use of topology

1850, in the meaning defined at sense 1

History and Etymology for topology

International Scientific Vocabulary

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Time Traveler for topology

Time Traveler

The first known use of topology was in 1850

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Dictionary Entries Near topology

topological transformation


top oneself

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Statistics for topology

Last Updated

28 Nov 2021

Cite this Entry

“Topology.” Dictionary, Merriam-Webster, Accessed 9 Dec. 2021.

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More Definitions for topology


to·​pol·​o·​gy | \ tə-ˈpäl-ə-jē, tä- How to pronounce topology (audio) \
plural topologies

Medical Definition of topology

2 : configuration sense 1 the topology of a molecule

Other Words from topology

topological \ ˌtäp-​ə-​ˈläj-​i-​kəl How to pronounce topology (audio) \ also topologic \ -​ik How to pronounce topology (audio) \ adjective

More from Merriam-Webster on topology Encyclopedia article about topology


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