Jerson Pérez

collaborators

2 papers

math.GN2022

On the Polishness of the inverse semigroup $Γ (X)$ on a compact metric space $X$

Jerson Pérez, Carlos Uzcátegui

Let $Γ (X)$ be the inverse semigroup of partial homeomorphisms between open subsets of a compact metric space $X$ . There is a topology, denoted $τ_{h co}$ , that makes $Γ (X)$ a topolo…

math.GN2022

Pettis property for Polish inverse semigroups

Karen Arana, Jerson Perez, Carlos Uzcategui

We study a property about Polish inverse semigroups similar to the classical theorem of Pettis about Polish groups. In contrast to what happens with Polish groups, not every Polish…

On the Polishness of the inverse semigroup Γ(X) on a compact metric space X

Pettis property for Polish inverse semigroups

On the Polishness of the inverse semigroup $Γ (X)$ on a compact metric space $X$