topologically equivalent


Definition of topologically equivalent

: related by a homeomorphism

Examples of topologically equivalent in a Sentence

Recent Examples on the Web In other words, the sum of all the local curvatures of a three-dimensional shape is the same for all topologically equivalent shapes with the same surface area. Spyridon Michalakis, Scientific American, "How Scientists Solved One of the Greatest Open Questions in Quantum Physics," 1 Aug. 2020 Two shapes are topologically equivalent if one can be transformed into the other without any cutting or gluing. Quanta Magazine, "‘Milestone’ Evidence for Anyons, a Third Kingdom of Particles," 12 May 2020 Thus, a coffee cup and a doughnut are what’s known as topologically equivalent. Sophia Chen, Wired, "Two Physicists Bet Over a Quantum Computing Moon Shot," 9 Mar. 2020 In two dimensions, any two manifolds with the same Euler characteristic are topologically equivalent. Quanta Magazine, "A Proof That Some Spaces Can’t Be Cut," 13 Jan. 2015

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'topologically equivalent.' 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 topologically equivalent

1915, in the meaning defined above

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The first known use of topologically equivalent was in 1915

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Cite this Entry

“Topologically equivalent.” Dictionary, Merriam-Webster, Accessed 26 Jan. 2021.

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