Objetivo
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.
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Convocatoria de propuestas
FP6-2004-MOBILITY-5
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