Abstract
Let M be a compact connected smooth manifold such that its rational cohomology (homology) is H(MQ) Q (H (MQ)Q) if je Jn {0} H' (M;Q) = {0} (IH, (M;Q) {0}) otherwise, were J is a subset of the set of natural numbers N with cardinal 1 or 2. A C maps f, g: MM is called transversal coincidence maps if for all me N the graph of f intersects transversally the graph of g" at each point (x, f (x) = g(x)) such that x is a coincidence point of f" and g". This paper study the set of periods of f and g by using the Lefschetz coincidence numbers for periodic coincidence points.
Article Type
Article
How to Cite this Article
AL-Ta'iy, Ban Jaffar
(2006)
"Peridos for Transversal Coincidence Maps on Compact Manifolds With a given Cohomology (Homology),"
Baghdad Science Journal: Vol. 3:
Iss.
1, Article 14.
DOI: https://doi.org/10.21123/bsj.2006.682