AN ALTERNATE PROOF THAT THE FUNDAMENTAL GROUP OF A PEANO CONTINUUM IS FINITELY PRESENTED IF THE GROUP IS COUNTABLE

作者：Dydak J^*; Virk Z

来源：Glasnik Matematicki, 2011, 46(2): 505-511.

DOI：10.3336/gm.46.2.18

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

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].

• 出版日期2011