On locally extremal functions on connected spaces

Simple item page
dc.creatorBanakh, T.
dc.creatorVovk, M.
dc.creatorWojcik, M. R.
dc.date2008-11-11
dc.date.accessioned2026-07-07T10:17:32Z
dc.date.available2026-07-07T10:17:32Z
dc.descriptionWe construct an example of a real-valued continuous non-constant function $f$ defined on a connected complete metric space $X$ such that every point of $X$ is a point of local minimum or local maximum for $f$. The space $X$ is connected but fails to be separably connected.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0811.1771
dc.identifierhttp://arxiv.org/abs/0811.1771
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173882
dc.subjectGeneral Topology
dc.subjectMetric Geometry
dc.subject54D05; 54C30
dc.titleOn locally extremal functions on connected spaces
dc.typetext

Files

Collections

arXiv