Almost maximal topologies on groups

• Autorzy: Yevhen Zelenyuk
• Języki publikacji: EN

Abstrakty

EN

Let G be a countably infinite group. We show that for every finite absolute coretract S, there is a regular left invariant topology on G whose ultrafilter semigroup is isomorphic to S. As consequences we prove that (1) there is a right maximal idempotent in βG∖G which is not strongly right maximal, and (2) for each combination of the properties of being extremally disconnected, irresolvable, and nodec, except for the combination (-,-,+), there is a corresponding regular almost maximal left invariant topology on G.

Kategorie tematyczne

• 54G05: Extremally disconnected spaces, F -spaces, etc.
• 22A15: Structure of topological semigroups
• 54H11: Topological groups
• 54D80: Special constructions of spaces (spaces of ultrafilters, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2016
• Tom: 234
• Numer: 1
• Strony: 91-100

Daty

wydano

2016

Twórcy

autor

Yevhen Zelenyuk

• School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa

Identyfikatory

DOI

10.4064/fm150-12-2015