A topology on the space of PL homeomorphisms of a PL manifold

Abstract

0. Introduction. It has long been known that the space of all smooth homeomorphisms of a smooth manifold with the Cl topology can be given the structure of a smooth manifold. A path in this space corresponds to a diffeotopy. It has been shown more recently (1) that the space of all homeomorphisms of a topological manifold is locally contractible when given the C–0 topology. A path in this space corresponds to an isotopy.