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

Jerson Pérez, Carlos Uzcátegui

Let $\Gamma (X)$ be the inverse semigroup of partial homeomorphisms between open subsets of a compact metric space $X$. There is a topology, denoted ${\tau }_{hco}$, that makes $\Gamma (X)$ a topolo…