We calculate the mapping 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-21, author = {Tam\'as Terpai}, title = {Calculation of the avoiding ideal for $$\Sigma$^{1,1}$ }, journal = {Banach Center Publications}, volume = {86}, year = {2009}, pages = {307-313}, zbl = {1169.57028}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-21} }
Tamás Terpai. Calculation of the avoiding ideal for $Σ^{1,1}$ . Banach Center Publications, Tome 86 (2009) pp. 307-313. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-21/