Lifting to mod2 Moore spaces Dedicated to the memory of Professor Katsuo Kawakubo
We try to investigate whether an element of order 2 in homotopy groups of spheres has a lift to an element of homotopy groups of mod 2 Moore spaces or not. A typical element of the affirmative property is Thomeier's element of π<SUB>8n+7</SUB>(S<SUP>4n+3</SUP>). And the Whitehead square [ι<SUB>2n+1</SUB>, ι<SUB>2n+1</SUB>] of the identity class ι<SUB>2n+1</SUB> of S<SUP>2n+1</SUP> is a negative example except for n=0, 1 and 3.
- Journal of the Mathematical Society of Japan
Journal of the Mathematical Society of Japan 52(3), 515-533, 2000-07
The Mathematical Society of Japan