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

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

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