Nielsen coincidence theory and coincidence-producing maps for manifolds with boundary (Q1191875)

Let \(X\) and \(Y\) be compact, connected, oriented manifolds of the same dimension with boundaries \(\partial X\), \(\partial Y\), respectively. Let \(f,g:X\to Y\) be maps such that \(g(\partial X)\subseteq\partial Y\). The authors introduce a coincidence index and a Nielsen coincidence number and explore their properties. As an application of the proposed coincidence theory, coincidence-producing maps \(g\) are characterized if \(Y\) is acyclic over the rationals.