967 search results - page 1 / 194 » Cycle spaces in topological spaces |
JGT
2008
13 years 4 months ago
2008
: 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 sho...
COMBINATORICA
2010
12 years 11 months ago
2010
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 charact...
JCT
2006
13 years 4 months ago
2006
MacLane's planarity criterion states that a finite graph is planar if and only if its cycle space has a basis B such that every edge is contained in at most two members of B....
KES
2004
Springer
13 years 10 months ago
2004
Springer
In Simultaneous Localisation and Mapping (SLAM) the correspondence problem, specifically detecting cycles, is one of the most difficult challenges for an autonomous mobile robot. ...
ENTCS
2006
13 years 4 months ago
2006
Sierpinski space is injective in the category Top of topological spaces, but not in any of the larger cartesian closed categories Conv of convergence spaces and Equ of equilogica...