Embedding planar compacta in planar continua with application: homotopic maps between planar Peano continua are characterized by the fundamental group homomorphism

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dc.creatorFabel, Paul
dc.date2009-02-10
dc.date2009-03-22
dc.date.accessioned2026-07-07T12:54:34Z
dc.date.available2026-07-07T12:54:34Z
dc.descriptionA planar compactum with connected complement can be an embedded in a cellular continuum by attaching a null sequence of arcs. Two based maps f and g from a planar Peano continuum X to a planar set Y are homotopic iff f and g induce the same homomorphism between fundamental groups.
dc.description25 pages - some reorganization and minor editing from 1st version
dc.identifierhttps://arxiv.org/abs/0902.1723
dc.identifierhttp://arxiv.org/abs/0902.1723
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223977
dc.subjectAlgebraic Topology
dc.subject55Q52
dc.titleEmbedding planar compacta in planar continua with application: homotopic maps between planar Peano continua are characterized by the fundamental group homomorphism
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