The fundamental group of a visual boundary versus the fundamental group at infinity

DOI10.1016/S0166-8641(02)00138-4zbMath1025.57005OpenAlexW2091320857MaRDI QIDQ1868877

Hanspeter Fischer, Gregory R. Conner

Publication date: 28 April 2003

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(02)00138-4

zbMATH Keywords

non-positive curvaturefundamental groupCAT(0)visual boundaryfundamental group at infinity

Mathematics Subject Classification ID

Geometric group theory (20F65) Homotopy groups, general; sets of homotopy classes (55Q05) Topological methods in group theory (57M07) Homotopy groups of special spaces (55Q52) Shape groups (55Q07)

Related Items (4)

Combinatorial \(\mathbb R\)-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces. ⋮ Hyperbolic groups with boundary an n-dimensional Sierpinski space ⋮ On small homotopies of loops ⋮ Homotopy of ends and boundaries of CAT(0) groups.

Cites Work

• Singular homology of one-dimensional spaces
• Shape theory. An introduction
• The fundamental groups of one-dimensional spaces
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