On topological inverse semigroup of finite transformations of an infinite set
Олег Гутік, Dusan D. Repovs · arXiv (Cornell University) · 2008
Abstract. We establish topological properties of the topological symmetric inverse semigroup of finite transformations I n λ of the rank � n. We show that the topological inverse semigroup is algebraically closed in the class of topological inverse semigroups. I n λ Many topologists established topological property of topological spaces of partial continuous maps PC (X, Y) from a topological space X into a topological space Y with various topologies. For example: Vietoris topology, generalized compact-open topology, graph topology, τ-topology,