Fundamental groups of Peano continua

Abstract

Extending a theorem of Shelah we prove that fundamental groups of Peano continua (locally connected and connected metric compact spaces) are finitely presented if they are countable. The proof uses ideas from geometric group theory.

6 pages, comments from G.Conner

References in corpus (2)

• A note on spaces of asymptotic dimension one
• Svarc-Milnor Lemma: a proof by definition

Cited by in corpus (1)

• Homotopical Smallness and Closeness