Vadim Weinstein

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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…

math.GT2025

Additivity of Crossing Number via Restricted Reidemeister Moves

Vadim Weinstein

We define a set of restricted Reidemeister moves and show that if $K$ is obtained from $K_{0} # K_{1}$ using those moves, then the crossing number of $K$ is at least $c (K_{0}) + c (K_{1})$ …