Glasnik matematički, Vol. 46 No. 2, 2011.
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
Publication date:
23.11.2011.
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