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, 1 Aug. 2020 Two shapes are topologically equivalent if one can be transformed into the other without any cutting or gluing. Quanta Magazine, 12 May 2020 Thus, a coffee cup and a doughnut are what’s known as topologically equivalent. Sophia Chen, Wired, 9 Mar. 2020 In two dimensions, any two manifolds with the same Euler characteristic are topologically equivalent. Quanta Magazine, 13 Jan. 2015

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'topologically equivalent.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

Word History

First Known Use

1915, in the meaning defined above

Time Traveler
The first known use of topologically equivalent was in 1915

Dictionary Entries Near topologically equivalent

Cite this Entry

“Topologically equivalent.” Dictionary, Merriam-Webster, Accessed 30 Nov. 2023.

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