Positive answers to Koch’s problem in special cases

Positive answers to Koch’s problem in special cases

A topological semigroup is monothetic provided it contains a dense cyclic subsemigroup. The Koch problem asks whether every locally compact monothetic monoid is compact. This problem was opened for more than sixty years, till in 2018 Zelenyuk obtained a negative answer. In this paper we obtain a pos...

Full description

Bibliographic Details
Main Authors: Banakh Taras, Bardyla Serhii, Guran Igor, Gutik Oleg, Ravsky Alex
Format: Article
Language:English
Published: De Gruyter 2020-04-01
Series:Topological Algebra and its Applications
Subjects:
koch’s problem
monothetic semigroup
non-viscous monoid
topological semigroup
semitopo-logical semigroup
cancellative semigroup
locally compact semigroup
countably compact semigroup
feebly compact semigroup
tkachenko-tomita group
22a15
54d30
Online Access:https://doi.org/10.1515/taa-2020-0007

Internet

https://doi.org/10.1515/taa-2020-0007

Similar Items