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Mathematical Research Letters

Volume 1, Issue 1, January 1994  pp. 45-48.

$\bold{CP^{2}}$-stable theory

Authors Michael H. Freedman and Zhenghan Wang
Author institution: University of California, San Diego, and University of Michigan

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.


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