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topological equivalence

American  

noun

Mathematics.
  1. the property of two topological spaces such that there is a homeomorphism from one to the other.


Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

Unlike a donut and coffee mug, the topological equivalence of these four spaces is not at all obvious to me.

From Scientific American • Nov. 5, 2017

It can be hard to assess topological equivalence because it is so flexible.

From Scientific American • Jun. 4, 2017

And if you think the problem might be difficult in three dimensions, imagine that you’re trying to assess topological equivalence of two impossible-to-visualize high-dimensional objects.

From Scientific American • Jun. 4, 2017

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