The homology of a locally finite graph with ends |
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Authors: | Reinhard Diestel Philipp Sprüssel |
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Institution: | (1) Department of Mathematics, Drexel University, Philadelphia, PA 19104-2875, USA; |
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Abstract: | We show that the topological cycle space of a locally finite graph is a canonical quotient of the first singular homology
group of its Freudenthal compactification, and we characterize the graphs for which the two coincide. We construct a new singular-type
homology for non-compact spaces with ends, which in dimension 1 captures precisely the topological cycle space of graphs but
works in any dimension. |
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Keywords: | |
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