Lefschetz coincidence class for several maps

Author(s)

Monis, Thais F. M. ^[1] ; Spiez, Stanislaw ^[2]

Affiliation

^[1] UNESP Univ Estadual Paulista, IGCE, Dept Math, Av 24-A 1515, BR-13506900 Rio Claro, SP - Brazil

^[2] Polish Acad Sci, Inst Math, Ul Sniadeckich 8, PL-00656 Warsaw - Poland

• Document type: Journal article
• Source: Journal of Fixed Point Theory and Applications; v. 18, n. 1, p. 61-76, MAR 2016.
• Web of Science Citations: 0

Abstract

The aim of this paper is to define a Lefschetz coincidence class for several maps. More specifically, for maps f(1), ..., f(k) : X -> N from a topological space X into a connected closed n-manifold (even nonorientable) N, a cohomological class L(f(1), ..., f(k)) is an element of Hn(k-1)(X; (f(1), ..., f(k)) {*} (R x Gamma(N){*}x ... Gamma(N){*})) is defined in such a way that L(f(1), ..., f(k)) not equal 0 implies that the set of coincidences Coin(f(1), ..., f(k)) = [x is an element of X vertical bar f(1)(x) = ... = f(k)(x)] is nonempty. (AU)

• FAPESP's process: 12/03316-6 - Parameterized versions of the Borsuk-Ulam theorem
• Grantee: Thaís Fernanda Mendes Monis
• Support Opportunities: Regular Research Grants
• FAPESP's process: 13/07936-1 - Topology and equilibrium existence in repeated games with incomplete information
• Grantee: Thaís Fernanda Mendes Monis
• Support Opportunities: Scholarships abroad - Research