A construction of noncontractible simply connected cell-like two dimensional Peano continua

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dc.creatorEda, Katsuya
dc.creatorKarimov, Umed H.
dc.creatorRepovš, Dušan
dc.date2007-07-27
dc.date.accessioned2026-07-07T09:28:53Z
dc.date.available2026-07-07T09:28:53Z
dc.descriptionUsing the topologist sine curve we present a new functorial construction of cone-like spaces, starting in the category of all path-connected topological spaces with a base point and continuous maps, and ending in the subcategory of all simply connected spaces. If one starts by a noncontractible n-dimensional Peano continuum for any n>0, then our construction yields a simply connected noncontractible (n + 1)-dimensional cell-like Peano continuum. In particular, starting with the circle $\mathbb{S}^1$, one gets a noncontractible simply connected cell-like 2-dimensional Peano continuum.
dc.identifierhttps://arxiv.org/abs/0707.4047
dc.identifierhttp://arxiv.org/abs/0707.4047
dc.identifierFund. Math. 195: 3 (2007), 193-203.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157586
dc.subjectGeometric Topology
dc.subjectGeneral Topology
dc.subject57N60, 54C55, 54F15, 55M15
dc.titleA construction of noncontractible simply connected cell-like two dimensional Peano continua
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