Automatic continuity of homomorphisms between topological inverse semigroups

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.

Bibliographic Details
Main Author: Pastukhova Iryna
Format: Article
Language:English
Published: De Gruyter 2018-04-01
Series:Topological Algebra and its Applications
Subjects:
Online Access:https://doi.org/10.1515/taa-2018-0004