Constructing near-embeddings of codimension one manifolds with countable dense singular sets

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dc.creatorRepovš, D.
dc.creatorRosicki, W.
dc.creatorZastrow, A.
dc.creatorŽeljko, M.
dc.date2008-03-29
dc.date.accessioned2026-07-07T13:16:56Z
dc.date.available2026-07-07T13:16:56Z
dc.descriptionThe purpose of this paper is to present, for all $n\ge 3$, very simple examples of continuous maps $f:M^{n-1} \to M^{n}$ from closed $(n-1)$-manifolds $M^{n-1}$ into closed $n$-manifold $M^n$ such that even though the singular set $S(f)$ of $f$ is countable and dense, the map $f$ can nevertheless be approximated by an embedding, i.e. $f$ is a {\sl near-embedding}.
dc.identifierhttps://arxiv.org/abs/0803.4251
dc.identifierhttp://arxiv.org/abs/0803.4251
dc.identifierGlasnik Mat. 44 (64):1 (2009), 255-258.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230955
dc.subjectGeometric Topology
dc.subjectGeneral Topology
dc.subject57Q55; 57N35; 54B15; 57N60
dc.titleConstructing near-embeddings of codimension one manifolds with countable dense singular sets
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