单词	topologically equivalent
释义	topologically equivalent adjective : related by a homeomorphism Example Sentences 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 Word History First Known Use 1915, in the meaning defined above
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