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math.GR2019
Positive answers to Koch's problem in special cases
Taras Banakh, Serhii Bardyla, Igor Guran +2
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 probl…
math.GN2019★ 1 cited
On the spread of topological groups containing subsets of the Sorgenfrey line
Taras Banakh, Igor Guran, Alex Ravsky
We prove that any topological group containing a subspace of the Sorgenfrey line has spread . Under OCA, each topological group containing an uncounta…