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More on the Minimal Set of Periods | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 56, Issue 4, 2015, Pages 2953-2958 | ||
| Author | ||
| Afraa R. Sadek | ||
| Abstract | ||
| Let M be a n-dimensional manifold. A C1- map f : M M is called transversal if for all m N the graph of fm intersect transversally the diagonal of MM at each point (x,x) such that x is fixed point of fm. We study the minimal set of periods of f(M per (f)), where M has the same homology of the complex projective space and the real projective space. For maps of degree one we study the more general case of (M per (f)) for the class of continuous self-maps, where M has the same homology of the n-dimensional sphere. | ||
| Keywords | ||
| mainfolds; transveral map; Lefschetz number; Lefschetz number for periodic points | ||
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