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math.GN2023
Non-metrizable manifolds and contractibility
Mathieu Baillif
We investigate whether non-metrizable manifolds in various classes can be homotopy equivalent to a CW-complex (in short: heCWc), and in particular contractible. We show that a non-…
math.GN2023
Eventually Constant and stagnating functions in non-Lindelöf spaces
Mathieu Baillif
We elaborate on the elementary fact that for any continuous function , there is an such that $f(\langleβ,x\rangle) = f(\langleα,x\rang…