Spaces of functions with countably many discontinuities

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dc.creatorHaydon, R
dc.creatorMolto, A
dc.creatorOrihuela, J
dc.date2006-12-12
dc.date.accessioned2026-07-07T06:36:08Z
dc.date.available2026-07-07T06:36:08Z
dc.descriptionLet $Γ$ be a Polish space and let $K$ be a separable and pointwise compact set of real-valued functions on $Γ$. It is shown that if each function in $K$ has only countably many discontinuities then $C(K)$ may be equipped with a $T_p$-lower semicontinuous and locally uniformly convex norm, equivalent to the supremum norm.
dc.identifierhttps://arxiv.org/abs/math/0612307
dc.identifierhttp://arxiv.org/abs/math/0612307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99991
dc.subjectFunctional Analysis
dc.subjectGeneral Topology
dc.subject46B03; 54H05
dc.titleSpaces of functions with countably many discontinuities
dc.typetext

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