Smale’s spectral decomposition theorem
Let be a compact differentiable manifold and let be an Axiom A diffeomorphism. The nonwandering set of can be partitioned into a finite number of compact topologically transitive blocks, called basic blocks:
Moreover, each basic block is partitioned into a finite number of compact subblocks , such that for and , and is topologically mixing for .
|Title||Smale’s spectral decomposition theorem|
|Date of creation||2013-03-22 14:28:08|
|Last modified on||2013-03-22 14:28:08|
|Last modified by||Koro (127)|
|Synonym||spectral decomposition theorem|