Metric spaces with discrete topological fundamental group

DOI10.1016/J.TOPOL.2006.08.004zbMath1111.55014OpenAlexW2083148969MaRDI QIDQ861945

Paul Fabel

Publication date: 2 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2006.08.004

zbMATH Keywords

topological fundamental groupsemilocally simply connected

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Topological categories, foundations of homotopy theory (55U40)

Related Items (5)

An uncountable homology group, where each element is an infinite product of commutators ⋮ On small \(n\)-Hawaiian loops ⋮ A TOPOLOGISED MEASURE HOMOLOGY ⋮ Finiteness theorems for holomorphic mapping from products of hyperbolic Riemann surfaces ⋮ Unnamed Item

Cites Work

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• The topological Hawaiian earring group does not embed in the inverse limit of free groups
• The fundamental groups of subsets of closed surfaces inject into their first shape groups
• One-dimensional sets and planar sets are aspherical
• Retracted: The topological fundamental group and generalized covering spaces
• The fundamental groups of one-dimensional wild spaces and the Hawaiian earring
• Can the Fundamental (Homotopy) Group of a Space be the Rationals?
• The fundamental group of a compact metric space
• Generalized universal covering spaces and the shape group

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