On the weight and the density of the space of order-preserving functionals

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dc.creatorAyupov, Sh. A.
dc.creatorZaitov, A. A.
dc.date2007-10-26
dc.date.accessioned2026-07-07T08:38:48Z
dc.date.available2026-07-07T08:38:48Z
dc.descriptionIn the present paper it is proved that the functors $O_τ$ of $τ$-smooth order preserving functionals and $O_R$ of Radon order preserving functionals preserve the weight of infinite Tychonoff spaces. Moreover, it is established that the density and the weak density of infinite Tychonoff spaces do not increase under these functors.
dc.identifierhttps://arxiv.org/abs/0710.5020
dc.identifierhttp://arxiv.org/abs/0710.5020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140863
dc.subjectGeneral Topology
dc.subjectFunctional Analysis
dc.subject60J55, 18B99, 46E27, 46M15
dc.titleOn the weight and the density of the space of order-preserving functionals
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