Continuous functions taking every value a given number of times

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dc.creatorKwiatkowska, Aleksandra
dc.date2007-08-26
dc.date.accessioned2026-07-07T08:25:53Z
dc.date.available2026-07-07T08:25:53Z
dc.descriptionWe give necessary and sufficient conditions on a function $f:[0,1]\to {0,1,2,...,ω,\continuum}$ under which there exists a continuous function $F:[0,1]\to [0,1]$ such that for every $y\in[0,1]$ we have $|F^{-1}(y)|=f(y)$.
dc.description16 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0708.3608
dc.identifierhttp://arxiv.org/abs/0708.3608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136769
dc.subjectLogic
dc.subjectGeneral Topology
dc.subject26A21; 03E15
dc.titleContinuous functions taking every value a given number of times
dc.typetext

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