topologically equivalent

adjective

: related by a homeomorphism

Examples of topologically equivalent in a Sentence

Recent Examples on the Web
Examples are automatically compiled from online sources to show current usage. Read More Opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback.
Thus, a coffee cup and a doughnut are what’s known as topologically equivalent. — Sophia Chen, Wired, 9 Mar. 2020 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 In 1981, the mathematicians Blaine Lawson and Renato de Azevedo Tribuzy proved that this is true for the sphere and any surfaces topologically equivalent to it — that is, any compact surfaces that have no holes. — Elise Cutts, Quanta Magazine, 20 Jan. 2026

Word History

First Known Use

1915, in the meaning defined above

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

Rhymes for topologically equivalent

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Browse Nearby Words

topological group
topologically equivalent
topological psychology
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Cite this Entry

“Topologically equivalent.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/topologically%20equivalent. Accessed 7 Jul. 2026.

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