On embedding all $n$-manifolds into a single $(n+1)$-manifold

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dc.creatorDing, Fan
dc.creatorWang, Shicheng
dc.creatorYao, Jiangang
dc.date2005-09-24
dc.date.accessioned2026-07-07T06:19:09Z
dc.date.available2026-07-07T06:19:09Z
dc.descriptionFor each composite number $n\ne 2^k$, there does not exist a single connected closed $(n+1)$-manifold such that any smooth, simply-connected, closed $n$-manifold can be topologically flat embedded into it. There is a single connected closed 5-manifold $W$ such that any simply-connected, 4-manifold $M$ can be topologically flat embedded into $W$ if $M$ is either closed and indefinite, or compact and with non-empty boundary.
dc.description21 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0509579
dc.identifierhttp://arxiv.org/abs/math/0509579
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94980
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject57M10, 57M25, 57N30
dc.titleOn embedding all $n$-manifolds into a single $(n+1)$-manifold
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