An alternate proof that the fundamental group of a Peano continuum is finitely presented if the group is countable

DOI10.3336/gm.46.2.18zbMath1236.57007OpenAlexW2322388018MaRDI QIDQ3113355

Žiga Virk, Jerzy Dydak

Publication date: 9 February 2012

Published in: Glasnik matematicki (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3336/gm.46.2.18

zbMATH Keywords

fundamental groupcoarse geometryfinitely presented groupPeano continuumcoarse connectivity

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Fundamental group, presentations, free differential calculus (57M05) Homotopy groups of special spaces (55Q52)

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Realizations of countable groups as fundamental groups of compacta ⋮ Homotopical smallness and closeness ⋮ Critical edges in Rips complexes and persistence ⋮ Approximations of 1-dimensional intrinsic persistence of geodesic spaces and their stability ⋮ Extension of the Švarc-Milnor lemma to gyrogroups

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