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math.GN2025
Approximation by zero-free continuous maps
Alexander J. Izzo
We prove that if E a subset of an n-dimensional manifold, then every continuous R^n-valued map on E that is zero-free on the interior of E can be approximated in the fine topology,…
math.GN2021
The set of bounded continuous nowhere locally uniformly continuous functions is not Borel
Alexander J. Izzo
It is known that for a nowhere locally compact metric space, the set of bounded continuous, nowhere locally uniformly continuous real-valued functions on contains a dense $…