# name
Periods for transversal maps via Lefschetz numbers for periodic points

# metadata.dc.description.abstract[].value
Let f: M → M be a C1 map on a C1 differentiable manifold. The map f is called transversal if for all m ∈ N the graph of fm intersects transversally the diagonal of M × M at each point (x, x) such that x is a fixed point of fm. We study the set of periods of f by using the Lefschetz numbers for periodic points. We focus our study on transversal maps defined on compact manifolds such that their rational homology is $H_0 \approx \mathbb{Q}, H_1 \approx \mathbb{Q} \oplus \mathbb{Q}$ and Hk ≈ {0} for k ≠ 0, 1.

# metadata.dc.relation.isformatof[].value
Reproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/2155063

# metadata.dc.relation.ispartof[].value
Transactions of the American Mathematical Society, 1995, vol. 347, núm. 12, p. 4779-4806.

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Periods for transversal maps via Lefschetz numbers for periodic points