On semilocally simply connected spaces

DOI10.1016/j.topol.2010.11.017zbMath1219.54028arXiv1102.0993OpenAlexW2041147096MaRDI QIDQ624405

Žiga Virk, Andreas Zastrow, Hanspeter Fischer, Dušan D. Repovš

Publication date: 9 February 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0993

zbMATH Keywords

fundamental groupinverse limitSpanier groupgeneralized universal covering spacehomotopically Hausdorff spacessemilocal simple connectivityshape injectivity

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Homotopy groups, general; sets of homotopy classes (55Q05) Pathological topological spaces (54G15) Connected and locally connected spaces (general aspects) (54D05) Shape groups (55Q07)

Related Items

On quasi-small loop groups, Small loop transfer spaces with respect to subgroups of fundamental groups, Elements of higher homotopy groups undetectable by polyhedral approximation, The word problem for some uncountable groups given by countable words, Homotopical smallness and closeness, On strong small loop transfer spaces relative to subgroups of fundamental groups, On fundamental groups of quotient spaces, Thick Spanier groups and the first shape group, The fundamental groupoid as a topological groupoid: Lasso topology, Homotopy type of planar Peano continua, Unique path lifting from homotopy point of view, On subgroup topologies on fundamental groups, On the fundamental group of inverse limits, On the topological fundamental groups of quotient spaces, On fundamental groups with the quotient topology, Transfinite product reduction in fundamental groupoids, Dense products in fundamental groupoids, Fibrations, unique path lifting, and continuous monodromy, Scattered products in fundamental groupoids, Test map characterizations of local properties of fundamental groups, 1-Dimensional intrinsic persistence of geodesic spaces, On the failure of the first Čech homotopy group to register geometrically relevant fundamental group elements, A COVERING PROPERTY IN PRINCIPAL BUNDLES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The fundamental groups of subsets of closed surfaces inject into their first shape groups
• On small homotopies of loops
• Small loop spaces
• The fundamental groups of one-dimensional spaces
• The non-Abelian Specker-group is free
• On the fundamental groups of one-dimensional spaces
• Construction of an infinitely generated group that is not a free product of surface groups and abelian groups, but which acts freely on an ℝ-tree
• Generalized universal covering spaces and the shape group