The minimum theorem for the relative root Nielsen number
Commun. Korean Math. Soc. 1997 Vol. 12, No. 3, 701-707
Ki-Yeol Yang Sunchon National University
Abstract : In , we introduce the relative root Nielsen number $N(f;X,A,c)$ for maps of pairs of spaces $ f:(X,A) \to (Y,B)$. From it, we obtain some immediate consequences of the definition and illustrate it by some examples. We consider the question whether there exists a map $ g:(X,A) \to (Y,B)$ homotopic to a given map $ f:(X,A) \to (Y,B) $ which has precisely $N(f;X,A,c)$ roots, that is, the minimum theorem for $N(f;X,A,c)$.