A core-free semicovering of the Hawaiian earring

DOI10.1016/j.topol.2013.08.004zbMath1282.57004arXiv1301.3746OpenAlexW2963048562MaRDI QIDQ391370

Andreas Zastrow, Hanspeter Fischer

Publication date: 10 January 2014

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

Full work available at URL: https://arxiv.org/abs/1301.3746

zbMATH Keywords

compact-open topologycovering spaceHawaiian earring

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Homotopy groups of special spaces (55Q52)

Related Items (12)

Small loop transfer spaces with respect to subgroups of fundamental groups ⋮ A new topology on the universal path space ⋮ When is a local homeomorphism a semicovering map? ⋮ On maps with continuous path lifting ⋮ On strong small loop transfer spaces relative to subgroups of fundamental groups ⋮ Fundamental groups of locally connected subsets of the plane ⋮ Unique path lifting from homotopy point of view ⋮ On subgroup topologies on fundamental groups ⋮ On fundamental groups with the quotient topology ⋮ Fibrations, unique path lifting, and continuous monodromy ⋮ Peano dimension of fundamental groups ⋮ On the failure of the first Čech homotopy group to register geometrically relevant fundamental group elements

Cites Work

• Unnamed Item
• The topological fundamental group and free topological groups
• Retracted: The topological fundamental group and generalized covering spaces
• The fundamental group as a topological group
• Semicoverings: a generalization of covering space theory
• Multiplication is Discontinuous in the Hawaiian Earring Group (with the Quotient Topology)
• Discreteness and Homogeneity of the Topological Fundamental Group
• A Van Kampen Theorem for Weak Joins
• Generalized universal covering spaces and the shape group

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