Automatic continuity of homomorphisms between topological inverse semigroups

Iryna Pastukhova
2018 Topological Algebra and its Applications  
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.
doi:10.1515/taa-2018-0004 fatcat:l2irymbonzfvhk2jbsgzdiwety