| Autor: |
Bertolim, Maria, Lima, Dahisy, Mello, Margarida, Rezende, Ketty, Silveira, Mariana |
| Zdroj: |
European Journal of Mathematics; June 2017, Vol. 3 Issue: 2 p387-428, 42p |
| Abstrakt: |
We study algorithms that give rise to a global Smale’s Cancellation Theorem for dimensions $$n\geqslant 6$$ n⩾6 . The Spectral Sequence Sweeping Algorithm (SSSA) and the Row Cancellation Algorithm (RCA) for a filtered Morse chain complex on a manifold $$M^{n}$$ Mn are presented. Our main theorems, which make use of these algorithms with a connection matrix as an input, establish a correspondence between algebraic cancellations in a spectral sequence and dynamical cancellations of the gradient flow on $$M^{n}$$ Mn for dimensions $$n\geqslant 6$$ n⩾6 . |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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