J. Korean Math. Soc. 1997; 34(3): 653-659
Printed September 1, 1997
Copyright © The Korean Mathematical Society.
Kee Young Lee and Moo Ha Woo
Taejon National University of Technology and Korea University
In this paper, we extend the Gottlieb groups of a space to the Gottlieb groups of a map and show some properties of those groups. Especially, We show the 2nd Gottlieb group of a map is contained in the center of the homotopy group of the map and show $G_n(f)$ = $\pi_n(f)$ for an H-map $f$ between H-spaces. We also show the Gottlieb subgroups $G_n(A),G_n(X)$ and $G_n(f)$ make a sequence if the map $f:A \to X$ has a right homotopy inverse.
Keywords: evaluation groups, evaluation group of a map
MSC numbers: 55P45
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