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Calculation of the avoiding ideal for $\Sigma^{1,1}$
Tamás Terpai1
Banach Center Publ. 85 (2009), 307-313
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.

MSC (2010): Primary 57R45; Secondary 57R19, 57R90.
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  1. Alfréd Rényi Institute of Mathematics
    13-15 Reáltanoda u.
    1053 Budapest, Hungary