activity
20232026
most citedConvex Embeddability and Knot Theory

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

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…

math.GT2025

Additivity of Crossing Number via Restricted Reidemeister Moves

Vadim Weinstein

We define a set of restricted Reidemeister moves and show that if is obtained from using those moves, then the crossing number of is at least …

math.LO2025

-systems and 4E Cognitive Science

Vadim K. Weinstein

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

math.LO2023

Piecewise convex embeddability on linear orders

Martina Iannella, Alberto Marcone, Luca Motto Ros +1

Given a nonempty set of linear orders, we say that the linear order is -convex embeddable into the linear order if it is possible to partition $…

math.LO2023★ 1 cited

Convex Embeddability and Knot Theory

Martina Iannella, Alberto Marcone, Luca Motto Ros +1

We consider countable linear orders and study the quasi-order of convex embeddability and its induced equivalence relation. We obtain both combinatorial and descriptive set-theoret…