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44

JGT
2008

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Cycle spaces in topological spaces

13 years 11 months ago

Cycle spaces in topological spaces

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: We develop a general model of edge spaces in order to generalize, unify, and simplify previous work on cycle spaces of infinite graphs. We give simple topological criteria to show that the fundamental cycles of a (generalization of a) spanning tree generate the cycle space in a connected, compact, weakly Hausdorff edge space. Furthermore, in such a space, the orthogonal complement of the bond space is the cycle space. This work unifies the two different notions of cycle space as introduced by Diestel and K

Antoine Vella, R. Bruce Richter

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Added	13 Dec 2010
Updated	13 Dec 2010
Type	Journal
Year	2008
Where	JGT
Authors	Antoine Vella, R. Bruce Richter

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