1. Departamento de Matemática, IME, USP, Caixa Postal 66281-Ag. Cidade de S(a)o Paulo, CEP: 05314-970,S(a)o Paulo, SP, Brasil 2. Department of Mathematics, Loyola University, 6363 St Charles Avenue, New Orleans, LA 70118,USA
Abstract:
The authors study the coincidence theory for pairs of maps from the Torus to the Klein bottle. Reidemeister classes and the Nielsen number are computed, and it is shown that any given pair of maps satisfies the Wecken property. The 1-parameter Wecken property is studied and a partial negative answer is derived. That is for all pairs of coincidence free maps a countable family of pairs of maps in the homotopy class is constructed such that no two members may be joined by a coincidence free homotopy.