Norio Iwase

Mailing Adress: Faculty of Mathematics, Kyushu University, Motooka 744, Fukuoka 819-0395, Japan
E-mail Adress: iwase_AT__AT_math.kyushu-u.ac.jp

Japanese
Authors.
D. Stanley and J. Strom and myself
Abstract.
Suppose the spaces X and X×A have the same Lusternik-Schnirelmann category: cat(X×A) = cat(X). Then there is a strict inequality cat(X×(A×|B)) < cat (X) + cat(A×|B) for every space B, provided the connectivity of A is large enough (depending only on X). This is applied to give a partial verification of a conjecture of Iwase on the category of products of spaces with spheres.

Implications of the Ganea Condition (adobe-pdf file, 188 Kbytes)
Implications of the Ganea Condition (postscript file, 316 Kbytes)