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Calculation of the avoiding ideal for $Σ^{1, 1}$

Tamás Terpai — 2009

Banach Center Publications

We calculate the mapping $H * (B O; ℤ ₂) \to H * (K^{1, 0}; ℤ ₂)$ 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.

Cobordisms of fold maps of 2k+2-manifolds into $ℝ^{3 k + 2}$

Tamás Terpai — 2008

Banach Center Publications

We calculate the group of cobordisms of k-codimensional maps into Euclidean space with no singularities more complicated than fold for a 2k+2-dimensional source manifold in both oriented and unoriented cases.

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Calculation of the avoiding ideal for Σ 1 , 1

Cobordisms of fold maps of 2k+2-manifolds into ℝ 3 k + 2

Calculation of the avoiding ideal for $Σ^{1, 1}$

Cobordisms of fold maps of 2k+2-manifolds into $ℝ^{3 k + 2}$