Cycle spaces in topological spaces

: 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

• Type: Journal
• Year: 2008
• Where: JGT
• Authors: Antoine Vella, R. Bruce Richter
• Keywords: Cycle Space, Edge Space, JGT 2008, Space