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Making group topologies with, and without, convergent sequences

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Making group topologies with, and without, convergent sequences

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Comfort, W.; Raczkowski, S.; Trigos-Arrieta, F. (2006). Making group topologies with, and without, convergent sequences. Applied General Topology. 7(1):109-124. doi:10.4995/agt.2006.1936.

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Title: Making group topologies with, and without, convergent sequences
Author: Comfort, W.W. Raczkowski, S.U. Trigos-Arrieta, F.J.
Issued date:
Abstract:
[EN] (1) Every infinite, Abelian compact (Hausdorff) group K admits 2|K|- many dense, non-Haar-measurable subgroups of cardinality |K|. When K is nonmetrizable, these may be chosen to be pseudocompact. (2) Every infinite ...[+]
Subjects: Haar measure , Dual group , Character , Pseudocompact group , Totally bounded group , Maximal topology , Convergent sequence , Torsion-free group , Torsion group , Torsion-free rank , p-rank , p-adic integers
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2006.1936
Publisher:
Universitat Politècnica de València
Publisher version: https://doi.org/10.4995/agt.2006.1936
Thanks:
The second listed author acknowledges partial support from the University Research Council at CSU Bakersfield. She also wishes to thank Mrs. Mary Connie Comfort for her encouragement, without which this paper would never ...[+]
Type: Artículo

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