A BROADER CONTEXT FOR MONOTONICALLY MONOLITHIC SPACES

dc.creatorALAS, O. T.
dc.creatorTKACHUK, V. V.
dc.creatorWILSON, R. G.
dc.date.accessioned2012-10-20T04:51:15Z
dc.date.accessioned2018-07-04T15:47:19Z
dc.date.available2012-10-20T04:51:15Z
dc.date.available2018-07-04T15:47:19Z
dc.date.created2012-10-20T04:51:15Z
dc.date.issued2009
dc.identifierACTA MATHEMATICA HUNGARICA, v.125, n.4, p.369-385, 2009
dc.identifier0236-5294
dc.identifierhttp://producao.usp.br/handle/BDPI/30748
dc.identifier10.1007/s10474-009-9034-9
dc.identifierhttp://dx.doi.org/10.1007/s10474-009-9034-9
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1627387
dc.description.abstractThis 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.
dc.languageeng
dc.publisherSPRINGER
dc.relationActa Mathematica Hungarica
dc.rightsCopyright SPRINGER
dc.rightsrestrictedAccess
dc.subjectmonolithic space
dc.subjectstrongly monolithic space
dc.subjectmonotonically monolithic space
dc.subjectstrongly monotonically monolithic space
dc.subjectmonotonically kappa-monolithic space
dc.subjectstrongly monotonically kappa-monolithic space
dc.subjectlinearly ordered topological space
dc.subjectfunction space
dc.subjectcaliber
dc.subjectordinal space
dc.titleA BROADER CONTEXT FOR MONOTONICALLY MONOLITHIC SPACES
dc.typeArtículos de revistas


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