Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces

DOI10.2969/jmsj/06330769zbMath1229.55008OpenAlexW2032130104MaRDI QIDQ719079

Katsuya Eda

Publication date: 27 September 2011

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06330769

zbMATH Keywords

fundamental groupHawaiian earringPeano continuumwild space

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Homotopy groups of special types (55Q70) Homotopy groups of wedges, joins, and simple spaces (55Q20)

Related Items (10)

Correction: Root extraction in one-relator groups and slenderness ⋮ Atomic Properties of the Hawaiian Earring Group for HNN Extensions ⋮ The number of homomorphisms from the Hawaiian earring group ⋮ Local topological properties of asymptotic cones of groups. ⋮ Making spaces wild (simply-connected case) ⋮ On the Abelianization of Certain Topologist’s Products ⋮ On definable subgroups of the fundamental group ⋮ On preservation of automatic continuity ⋮ From uncountable abelian groups to uncountable nonabelian groups ⋮ Abstract homomorphisms from some topological groups to acylindrically hyperbolic groups

Cites Work

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• THE FIRST INTEGRAL SINGUAR HOMOLOGY GROUPS OF ONE POINT UNIONS
• Unrestricted Free Products, and Varieties of Topological Groups
• THE FUNDAMENTAL GROUP OF TWO SPACES WITH A COMMON POINT

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