On small homotopies of loops

Simple item page
dc.creatorConner, G.
dc.creatorMeilstrup, M.
dc.creatorRepovš, D.
dc.creatorZastrow, A.
dc.creatorŽeljko, M.
dc.date2007-12-11
dc.date.accessioned2026-07-07T09:35:08Z
dc.date.available2026-07-07T09:35:08Z
dc.descriptionTwo natural questions are answered in the negative: (1) If a space has the property that small nulhomotopic loops bound small nulhomotopies, then are loops which are limits of nulhomotopic loops themselves nulhomotopic? (2) Can adding arcs to a space cause an essential curve to become nulhomotopic? The answer to the first question clarifies the relationship between the notions of a space being homotopically Hausdorff and $π_1$-shape injective.
dc.description12 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0712.1722
dc.identifierhttp://arxiv.org/abs/0712.1722
dc.identifierTopol. Appl. 155:10 (2008), 1089-1097
dc.identifierdoi:10.1016/j.topol.2008.01.009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159736
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subjectGroup Theory
dc.subject57N13, 57N65;19J25, 57P10, 57R67
dc.titleOn small homotopies of loops
dc.typetext

Files

Collections

arXiv