topologically equivalent

adjective

: related by a homeomorphism

Examples of topologically equivalent in a Sentence

Recent Examples on the Web

In other words, all spaces that are topologically equivalent to the n-dimensional space Rn are also diffeomorphic to it. — Manon Bischoff, Scientific American, 22 Sep. 2026

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

Thus, a coffee cup and a doughnut are what’s known as topologically equivalent. — Sophia Chen, Wired, 9 Mar. 2020

Word History

First Known Use

1915, in the meaning defined above

Rhymes for topologically equivalent

• ambivalent
• bivalent
• trivalent
• nonequivalent