- THE MINIMUM THEOREM FOR THE RELATIVE ROOT NIELSEN NUMBER
- Yang, Ki-Yeol ;
- Communications of the Korean Mathematical Society, volume 12, issue 3, 1997, Pages 701~707
Abstract
In [8], 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).