Bardyla S. Completeness of topological semilattices and semigroups

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0417U002898

Applicant for

Specialization

  • 01.01.04 - Геометрія і топологія

14-09-2017

Specialized Academic Board

Д35.051.18

Essay

It was solved the Stepp's problem, that is, an example of H-closed but not absolutely H-closed topological semilattice was constructed. It was described all locally compact semigroup topologies on the polycyclic monoid. It was found sufficient conditions for polycyclic monoid to be H-closed. For an arbitrary finite ordinal a, locally compact topological a-bicyclic monoid is discrerte.

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