Calculation of the avoiding ideal for $\Sigma^{1,1}$
Volume 85 / 2009
Banach Center Publications 85 (2009), 307-313
MSC: Primary 57R45; Secondary 57R19, 57R90.
DOI: 10.4064/bc85-0-21
Abstract
We calculate the mapping $H^*(BO;{\mathbb Z}_2) \rightarrow H^*(K^{1,0};{\mathbb Z}_2)$ and obtain a generating system of its kernel. As a corollary, bounds on the codimension of fold maps from real projective spaces to Euclidean space are calculated and the rank of a singular bordism group is determined.
