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Content archived on 2024-05-29

Infinite graphs, ends, their topology, and totally disconnected groups

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 (EuroSciVoc)

Keywords

Topic(s)

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
Total cost
No data