Almost p-compact groups
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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| Data(s) |
21/10/2013
21/10/2013
2012
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| Resumo |
We show that if p is a selective ultrafilter, then for each cardinal alpha <= omega(1), there exists a topological group G such that G(beta) is almost p-compact (in particular, countably compact), for beta < alpha, but G(alpha) is not countably compact. If in addition, we assume Martin's Axiom, then the result above holds for every alpha < c. (C) 2012 Elsevier By. All rights reserved. Ministerio de Ciencia e Innovacion [MTM2011-23118] Ministerio de Ciencia e Innovacion Fapesp [Proc. 2007/06763-5] FAPESP CNPq - Bolsa de Produtividade em Pesquisa - "Grupos topologicos, selecoes e topologias de hiperespaco" [Proc. 308467/2007-8] CNPq Bolsa de Produtividade em Pesquisa Grupos topologicos, selecoes e topologias de hiperespaco |
| Identificador |
TOPOLOGY AND ITS APPLICATIONS, AMSTERDAM, v. 159, n. 9, Special Issue, supl., Part 3, pp. 2513-2527, 37043, 2012 0166-8641 http://www.producao.usp.br/handle/BDPI/35188 10.1016/j.topol.2011.12.025 |
| Idioma(s) |
eng |
| Publicador |
ELSEVIER SCIENCE BV AMSTERDAM |
| Relação |
TOPOLOGY AND ITS APPLICATIONS |
| Direitos |
closedAccess Copyright ELSEVIER SCIENCE BV |
| Palavras-Chave | #P-LIMIT #COUNTABLY COMPACT #ALMOST P-COMPACT #TOPOLOGICAL GROUP #TOPOLOGICAL PRODUCT #SELECTIVE ULTRAFILTERS #OPEN PROBLEMS IN TOPOLOGY #CONVERGENT SEQUENCES #MARTIN'S AXIOM #COMFORT'S QUESTION #FREE ABELIAN-GROUP #COUNTABLY COMPACT #CONVERGENT SEQUENCES #TOPOLOGICAL-GROUPS #SQUARE #POWERS #MATHEMATICS, APPLIED #MATHEMATICS |
| Tipo |
article original article publishedVersion |
