G Maps and the Projective Class Group
Let A, and be topological spaces and let , be continuous maps. For all self-maps , and such that and there exists a pushout map f defined on the pushout space . In [F] we proved a formula relating the generalized Lefschetz numbers of f, , and . We had to assume all the spaces involved were connected because in the original definition of the generalized Lefschetz number given by Husseini in [H] the space was assumed to be connected. So, to extend the result of [F] to the not...
We introduce various classes of local maps: gradient, gradient-like, proper etc. We prove Parusiński's theorem for otopy classes of gradient local maps.
We study the homology of the fixed point set on a rational homology sphere under the action of a finite group.