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dc.contributor.authorBuhagiar, David
dc.contributor.authorPasynkov, Boris Alekseevich
dc.date.accessioned2017-04-15T14:51:04Z
dc.date.available2017-04-15T14:51:04Z
dc.date.issued2005-08
dc.identifier.citationBuhagiar, D., & Pasynkov, B. A. (2005). On strong cellularity type properties of Lindelof groups. Topology and its Applications, 153(1), 1-9.en_GB
dc.identifier.urihttps://www.um.edu.mt/library/oar//handle/123456789/18301
dc.description.abstractWe prove several facts about cellularity and κ-cellularity of λ-Lindelöf groups generated by their κ-stable subspaces. For example, if a Lindelöf group G is generated by its κ-stable subspace then κ-cellularity (and hence cellularity) of G does not exceed κ. In particular, ω1-cellularity (and hence cellularity) of a Lindelöf group does not exceed ω1 if this group is generated by its ω1-Lindelöf subspace which is a P-space. For any cardinal μ with ω<μ c a Lindelöf group G is constructed which is separable (and hence has countable cellularity) while ω-cellularity of G is equal to μ.en_GB
dc.language.isoenen_GB
dc.publisherElsevieren_GB
dc.rightsinfo:eu-repo/semantics/openAccessen_GB
dc.subjectRiemann hypothesisen_GB
dc.subjectInvariant subspacesen_GB
dc.subjectMappings (Mathematics)en_GB
dc.subjectSet theoryen_GB
dc.titleOn strong cellularity type properties of Lindelof groupsen_GB
dc.typearticleen_GB
dc.rights.holderThe copyright of this work belongs to the author(s)/publisher. The rights of this work are as defined by the appropriate Copyright Legislation or as modified by any successive legislation. Users may access this work and can make use of the information contained in accordance with the Copyright Legislation provided that the author must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the prior permission of the copyright holder.en_GB
dc.description.reviewedpeer-revieweden_GB
dc.identifier.doi10.1016/j.topol.2004.12.002
Appears in Collections:Scholarly Works - FacSciMat

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