topology

noun
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

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Other Words from topology

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

Examples of topology in a Sentence

Recent Examples on the Web

Palais was exploring what was then mostly uncharted territory lying between analysis (a generalization of calculus) and topology and geometry (which study the structure of shapes). Quanta Magazine, "Karen Uhlenbeck, Uniter of Geometry and Analysis, Wins Abel Prize," 19 Mar. 2019 Frolkina’s results are firmly rooted in a field called point-set topology. Quanta Magazine, "Möbius Strips Defy a Link With Infinity," 20 Feb. 2019 The field of topology is something like coarse geometry: Precise shapes and distances do not matter so much. Quanta Magazine, "Möbius Strips Defy a Link With Infinity," 20 Feb. 2019 Other theorists were also uncovering links to topology. Quanta Magazine, "Physicists Aim to Classify All Possible Phases of Matter," 3 Jan. 2018 Intel hasn't yet revealed what the topology within each package will be, so the exact distribution of those cores and memory channels between chips is as yet unknown. Peter Bright, Ars Technica, "Intel announces Cascade Lake Xeons: 48 cores and 12-channel memory per socket," 5 Nov. 2018 Until then, OSIRIS-REx will study the asteroid in great detail—mapping the topology of the space rock to a greater resolution than even the Earth's surface. Eric Berger, Ars Technica, "NASA’s daring asteroid mission unfurls its sampling arm for the first time," 16 Nov. 2018 Next, engineers created the basic topology of the virtual environment using a traditional game engine. James Vincent, The Verge, "Nvidia has created the first video game demo using AI-generated graphics," 3 Dec. 2018 Physicists have learned to use concepts from geometry and topology to understand the enormous complexity that quantum mechanics can generate. Frank Wilczek, WSJ, "The Second Quantum Revolution," 18 Oct. 2018

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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Statistics for topology

Last Updated

11 Oct 2019

Look-up Popularity

Time Traveler for topology

The first known use of topology was in 1850

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More Definitions for topology

topology

noun
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 topological (audio) \ also topologic \ -​ik How to pronounce topologic (audio) \ adjective

More from Merriam-Webster on topology

Rhyming Dictionary: Words that rhyme with topology

Britannica.com: Encyclopedia article about topology

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