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.
myself
Abstract.
A criterion to determine the L-S category of a total space of a Sr-bundle over St+1 is given in terms of homotopy invariants of characteristic maps, which gives an answer to Ganea's Problem 4. As a result, we obtain a manifold N to have the same L-S category as its `once punctured submanifold' N-{P}, for some P in N. Also we obtain a manifold M which fails to satisfy Ganea's conjecture on L-S category.

Lusternik-Schnirelmann category of a sphere-bundle over a sphere (adobe-pdf file, 238659 bytes)