Turkish Journal of Mathematics
Abstract
D. Nash defined a family of homotopy 4-spheres in [11]. Proving that his manifolds S_{m,n,m',n'} are all real S^4, we show that they have handle decomposition with no 1-handles, two 2-handles and two 3-handles. The handle structures give new potential counterexamples to the Property 2R conjecture.
DOI
10.3906/mat-1104-1
Keywords
Homotopy 4-spheres, Property 2R, handle calculus
First Page
360
Last Page
374
Recommended Citation
TANGE, MOTOO
(2013)
"On Nash\'s 4-sphere and Property 2R,"
Turkish Journal of Mathematics: Vol. 37:
No.
2, Article 16.
https://doi.org/10.3906/mat-1104-1
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss2/16
