topological equivalence

American  

noun

Mathematics.

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

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Example Sentences

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

From Scientific American

Topological equivalence allows a lot of leeway.

From Scientific American

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

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

From Scientific American