## The Cycle Space of an Infinite Graph (2004)

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by
Reinhard Diestel

Venue: | COMB., PROBAB. COMPUT |

Citations: | 26 - 9 self |

### BibTeX

@ARTICLE{Diestel04thecycle,

author = {Reinhard Diestel},

title = {The Cycle Space of an Infinite Graph},

journal = {COMB., PROBAB. COMPUT},

year = {2004},

volume = {14},

pages = {2005}

}

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### Abstract

Finite graph homology may seem trivial, but for infinite graphs things become interesting. We present a new approach that builds the cycle space of a graph not on its finite cycles but on its topological circles, the homeomorphic images of the unit circle in the space formed by the graph together with its ends. Our approach