Vadim Weinstein

collaborators

4 papers

math.LO2026

Borel classification of simplicial complexes and non-compact $2$ - and $3$ -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…

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 $c (K_{0}) + c (K_{1})$ …

math.LO2025

$G$ -systems and 4E Cognitive Science

Vadim K. Weinstein

We introduce a class dynamical systems called $G$ -systems equipped with a coupling operation. We use $G$ -systems to define the notions of dependence (borrowed from dependence logic…

Borel classification of simplicial complexes and non-compact 2- and 3-manifolds

Alexander's conjecture for infinite simplicial complexes

Additivity of Crossing Number via Restricted Reidemeister Moves

G-systems and 4E Cognitive Science

Borel classification of simplicial complexes and non-compact $2$ - and $3$ -manifolds

$G$ -systems and 4E Cognitive Science