A BROADER CONTEXT FOR MONOTONICALLY MONOLITHIC SPACES
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2009
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| Resumo |
This is a sequel of the work done on (strongly) monotonically monolithic spaces and their generalizations. We introduce the notion of monotonically kappa-monolithic space for any infinite cardinal kappa and present the relevant results. We show, among other things, that any sigma-product of monotonically kappa-monolithic spaces is monotonically kappa-monolithic for any infinite cardinal kappa; besides, it is consistent that any strongly monotonically omega-monolithic space with caliber omega(1) is second countable. We also study (strong) monotone kappa-monolithicity in linearly ordered spaces and subspaces of ordinals. Consejo Nacional de Ciencia y Tecnologia de Mexico (CONACYT) Consejo Nacional de Ciencia y Tecnologia de Mexico (CONACYT)[U48602-F] Programa Integral de Fortalecimiento Institucional (PIFI)[34536-55] Programa Integral de Fortalecimiento Institucional (PIFI) |
| Identificador |
ACTA MATHEMATICA HUNGARICA, v.125, n.4, p.369-385, 2009 0236-5294 http://producao.usp.br/handle/BDPI/30748 10.1007/s10474-009-9034-9 |
| Idioma(s) |
eng |
| Publicador |
SPRINGER |
| Relação |
Acta Mathematica Hungarica |
| Direitos |
restrictedAccess Copyright SPRINGER |
| Palavras-Chave | #monolithic space #strongly monolithic space #monotonically monolithic space #strongly monotonically monolithic space #monotonically kappa-monolithic space #strongly monotonically kappa-monolithic space #linearly ordered topological space #function space #caliber #ordinal space #Mathematics |
| Tipo |
article original article publishedVersion |
