Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 1998; 35(2): 281-294

Printed June 1, 1998

Copyright © The Korean Mathematical Society.

The $G$-sequence of a map and its exactness

Jian Zhong Pan, Xinyao Shen, and Moo Ha Woo

Academia Sinica, Academia Sinica and Korea University

Abstract

In this paper, we extend the $G$-sequence of a $CW$-pair to the $G$-sequence of a map and show the existence of a map with nonexact $G$-sequence. We also give an example of a finite $CW$-pair with nontrivial $\omega$-homology in high order.

Keywords: $G$-sequences, evaluation groups, evaluation group of a map, $\omega$-homology

MSC numbers: 55P45

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