The fundamental group of a locally finite graph with ends

作者：Diestel Reinhard^*; Spruessel Philipp

来源：Advances in Mathematics, 2011, 226(3): 2643-2675.

DOI：10.1016/j.aim.2010.09.008

• Fundamental group
• Infinite words
• Infinite graphs
• Ends of graphs
• Freudenthal compactification
• Topological cycle space

We characterize the fundamental group of a locally finite graph G with ends combinatorially, as a group of infinite words. Our characterization gives rise to a canonical embedding of this group in the inverse limit of the free groups pi(1) (G`) with G` subset of G finite.

• 出版日期2011-2-15