Original scientific paper

https://doi.org/10.3336/gm.46.2.18

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

J. Dydak orcid.org/0000-0003-3302-9881 ; University of Tennessee, Knoxville, TN 37996, USA
Žiga Virk ; University of Tennessee, Knoxville, TN 37996, USA

Abstract

We give an alternate proof, using coarse geometry, that if the fundamental group of a compact, connected, locally connected metric space is countable, then the fundamental group is finitely presented. This result was first proved by Katsuya Eda and the argument can be found in [5].

Keywords

Coarse geometry; coarse connectivity; finitely presented groups; fundamental group; locally connected compact metric spaces

Hrčak ID:

74277

URI

https://hrcak.srce.hr/74277

Publication date:

23.11.2011.

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