WEDGE CANCELLATION AND GENUS

Authors
Citation
I. Llerena, WEDGE CANCELLATION AND GENUS, Forum mathematicum, 6(5), 1994, pp. 547-553
Citations number
6
Categorie Soggetti
Mathematics,Mathematics,Mathematics
Journal title
ISSN journal
09337741
Volume
6
Issue
5
Year of publication
1994
Pages
547 - 553
Database
ISI
SICI code
0933-7741(1994)6:5<547:WCAG>2.0.ZU;2-T
Abstract
In this note it is shown that two mapping cones C(alpha), C(beta) of s uspension elements of finite order alpha, beta in pi(m-1) (OR(k) S(n)) are of the same genus if and only if C(alpha) (V) OR(k)S(n) and C(bet a) (V) OR(k) S(n) are homotopy equivalent. This generalises Molnar's r esults for k greater-than-or-equal-to 1. However, contrary to what hap pens for k = 1, here we do not always have C(alpha) (V) S(m) congruent -to C(beta) (V) S(m).