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Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.

6 votes

Topological embeddings of non-compact, complete metric spaces

Any metric space can be isometrically embedded into some Banach space E. And E has the property X, since it can be topologically embedded into itself as its open unit ball, which is clearly not closed …
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  • 4,060
4 votes

Is a "contraction space" always complete?

I think http://www.renyi.hu/~emarci/fix2.ps should be helpful.
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