3 papers
math.MG2026
The Observable Wasserstein Distance
Edivaldo Lopes dos Santos, Leandro Vicente Mauri, Washington Mio +1
We introduce the observable Wasserstein distance, a framework for deriving lower bounds on the Wasserstein distance between probability measures on Polish metric spaces, designed t…
math.AT2026
Persistent Leray's spectral sequence
Edivaldo L. dos Santos, Telmo I. Acosta Vellozo
In this work, we construct a persistent version of the well-known Leray spectral sequence. More precisely, we construct a spectral sequence that computes the persistent cohomology…
math.AT2026
Separation properties of codimension-1 maps between generalized manifolds
Edivaldo L. dos Santos, Telmo I. Acosta Vellozo
In this work, we obtained separation results via codimension-1 maps to generalized manifolds. More specifically, we proved results that allow us to estimate the number of connected…