Freedman, Michael H.; Wang, Zhenghan \(CP^ 2\)-stable theory. (English) Zbl 0849.57016 Math. Res. Lett. 1, No. 1, 45-48 (1994). Summary: In the topological category, it is shown that the dimension 4 disk theorem holds without fundamental group restriction after stabilizing with many copies of complex projective space. As corollaries, a stable 4-dimensional surgery theorem and a stable 5-dimensional s-cobordism are obtained. These results contrast with the smooth category where the usefulness of adding \(CP^2\)’s depends on chirality. Cited in 1 Document MSC: 57N13 Topology of the Euclidean \(4\)-space, \(4\)-manifolds (MSC2010) 57N70 Cobordism and concordance in topological manifolds 57R67 Surgery obstructions, Wall groups 57R80 \(h\)- and \(s\)-cobordism Keywords:disk theorem; stabilizing; complex projective space; s-cobordism PDFBibTeX XMLCite \textit{M. H. Freedman} and \textit{Z. Wang}, Math. Res. Lett. 1, No. 1, 45--48 (1994; Zbl 0849.57016) Full Text: DOI