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math.LO2026
Borel classification of simplicial complexes and non-compact - and -manifolds
Martina Iannella, Vadim Weinstein
We generalize the Stone space of ultrafilters on Boolean algebras and prove a generalization of Stone duality which is applicable to locally compact Polish spaces. Using this, we o…
math.GT2026
Alexander's conjecture for infinite simplicial complexes
Martina Iannella, Vadim Weinstein
Alexander's conjecture states that for every two finite triangulations of the same topological space, if they have a common subdivision, then they have a common stellar subdivision…