Automatic continuity of homomorphisms between topological inverse semigroups

Abstract

We find conditions on topological inverse semigroups X, Y guaranteeing the continuity of any homomorphism h : X → Y having continuous restrictions to any subsemilattice and any subgroup of X.

Keywords

• topological inverse semigroup
• 22a15
• 22a26
• 54c08
• 54e52