- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 A minimum theorem for the relative root Nielsen number Commun. Korean Math. Soc. 2004 Vol. 19, No. 1, 159-167 Printed March 1, 2004 Ki-Yeol Yang, Xuezhi Zhao Sunchon National University, Capital Normal University Abstract : In [1], a relative root Nielsen number $N_{rel} (f;c)$ is introduced which is a homotopy invariant lower bound for the number of roots at $c \in Y$ for a map of pairs of spaces $f:(X,A) \to (Y,B)$. In this paper, we obtain a minimum theorem for $N_{rel} (f;c)$ under some new assumptions on the spaces and maps which are different from those in [1]. Keywords : root, Nielsen number, relative map MSC numbers : 55M20 Downloads: Full-text PDF