A note on automatic continuity

DOI10.1090/proc/14242zbMath1477.20049arXiv1710.04787OpenAlexW2964064216WikidataQ128842352 ScholiaQ128842352MaRDI QIDQ4644721

Samuel M. Corson, Gregory R. Conner

Publication date: 8 January 2019

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

Full work available at URL: https://arxiv.org/abs/1710.04787

zbMATH Keywords

word hyperbolic groupThompson's grouplocally compact Hausdorff groupslender groupcompletely metrizable group

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological groups (topological aspects) (54H11) Other groups related to topology or analysis (20F38) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (16)

Correction: Root extraction in one-relator groups and slenderness ⋮ Mini-workshop: Nonpositively curved complexes. Abstracts from the mini-workshop held February 7--13, 2021 (online meeting) ⋮ Generating the inverse limit of free groups ⋮ Automatic continuity of \(\aleph_1\)-free groups ⋮ Inverse limit slender groups ⋮ Unnamed Item ⋮ A Nunke type classification in the locally compact setting ⋮ The number of homomorphisms from the Hawaiian earring group ⋮ On definable subgroups of the fundamental group ⋮ On preservation of automatic continuity ⋮ Uncountable groups and the geometry of inverse limits of coverings ⋮ Deeply concatenable subgroups might never be free ⋮ Mapping class groups with the Rokhlin property ⋮ Abstract homomorphisms from some topological groups to acylindrically hyperbolic groups ⋮ Automatic continuity for groups whose torsion subgroups are small ⋮ Abstract group actions of locally compact groups on CAT(0) spaces

Cites Work

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• On the fundamental groups of one-dimensional spaces
• ON ENDOMORPHISMS OF TORSION-FREE HYPERBOLIC GROUPS
• On Direct Sums of Free Cycles
• Atomic Properties of the Hawaiian Earring Group for HNN Extensions
• Diagram groups
• Torsion-free word hyperbolic groups are noncommutatively slender
• Root extraction in one-relator groups and slenderness
• Some results on one-relator groups
• Independent sets in topological algebras
• Unrestricted Free Products, and Varieties of Topological Groups

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