INFINITARY COMMUTATIVITY AND ABELIANIZATION IN FUNDAMENTAL GROUPS

DOI10.1017/S1446788720000427zbMath1495.57011OpenAlexW3109000279MaRDI QIDQ5075723

Patrick Gillespie, Jeremy Thomas Brazas

Publication date: 11 May 2022

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

Full work available at URL: https://doi.org/10.1017/s1446788720000427

zbMATH Keywords

fundamental groupinfinitary operationtransfinite commutativitytransfinite abelianization

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Homotopy groups of special spaces (55Q52) Infinitary algebras (08A65)

Related Items (2)

Fundamental groups of James reduced products ⋮ The Griffiths double cone group is isomorphic to the triple

Cites Work

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• Cotorsion-free groups from a topological viewpoint
• On the homology of the harmonic archipelago
• An uncountable homology group, where each element is an infinite product of commutators
• On small homotopies of loops
• Free \(\sigma\)-products and noncommutatively slender groups
• The fundamental groups of one-dimensional spaces
• The combinatorial structure of the Hawaiian earring group
• Cotorsion and wild homology
• Fundamental groups of locally connected subsets of the plane
• The fundamental groups of one-dimensional spaces and spatial homomorphisms
• On fundamental groups with the quotient topology
• Transfinite product reduction in fundamental groupoids
• Singular homology groups of one-dimensional Peano continua
• A Van Kampen Theorem for Weak Joins
• Low dimensional homotopy groups of suspensions of the Hawaiian earring
• The Singular Homology of the Hawaiian Earring
• On subgroups of first homology
• Test map characterizations of local properties of fundamental groups
• THE FUNDAMENTAL GROUP OF TWO SPACES WITH A COMMON POINT

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