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