Objective We build a new axiomatic end theory for non-locally compact spaces (such as non-locally finite graphs) as a generalization of Freudenthal's end theory. A theorem of Hopf which determines the structure of the end space by groups acting with "small" fundamental domains shall be generalized and extended. We deal with questions concerning the cycle spaces of graphs which link combinatorial graph theory and end theory. Furthermore, we compare directions of the action of totally disconnected topological groups on rough Cayley graphs with directions of these groups which were defined purely algebraically by Baumgartner and Willis. Fields of science natural sciencesmathematicspure mathematicstopologynatural sciencesmathematicspure mathematicsdiscrete mathematicsgraph theory Keywords cycle space end compactifications ends of graphs groups acting on graphs non-locally compact spaces non-locally finite graphs totally disconnected topological groups Programme(s) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Topic(s) MOBILITY-2.1 - Marie Curie Intra-European Fellowships (EIF) Call for proposal FP6-2004-MOBILITY-5 See other projects for this call Funding Scheme EIF - Marie Curie actions-Intra-European Fellowships Coordinator UNIVERSITAET HAMBURG EU contribution No data Address Edmund-Siemers-Allee 1 HAMBURG Germany See on map Links Website Opens in new window Total cost No data
