Vadim Weinstein

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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.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

G-systems and 4E Cognitive Science

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

$G$ -systems and 4E Cognitive Science