Martina Iannella

collaborators

5 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.LO2023

Piecewise convex embeddability on linear orders

Martina Iannella, Alberto Marcone, Luca Motto Ros +1

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

math.LO2023

Descriptive properties of I2-embeddings

Vincenzo Dimonte, Martina Iannella, Philipp Lücke

We contribute to the study of generalizations of the Perfect Set Property and the Baire Property to subsets of spaces of higher cardinalities, like the power set $P (λ)$ of a singul…

math.LO2023

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…

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

Alexander's conjecture for infinite simplicial complexes

Piecewise convex embeddability on linear orders

Descriptive properties of I2-embeddings

Convex Embeddability and Knot Theory

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