Examples of topologically equivalent in a Sentence
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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.
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Elise Cutts, Quanta Magazine, 20 Jan. 2026
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
Thus, a coffee cup and a doughnut are what’s known as topologically equivalent.
—Sophia Chen, Wired, 9 Mar. 2020
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Elise Cutts, Quanta Magazine, 20 Jan. 2026
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
Thus, a coffee cup and a doughnut are what’s known as topologically equivalent.
—Sophia Chen, Wired, 9 Mar. 2020
Cite this Entry
“Topologically equivalent.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/topologically%20equivalent. Accessed 23 Mar. 2026.
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