Characterization of a differentiable structure by its group of diffeomorphisms
β Scribed by Floris Takens
- Book ID
- 112788439
- Publisher
- Springer
- Year
- 1979
- Tongue
- English
- Weight
- 405 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1678-7714
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π SIMILAR VOLUMES
We show that the group of automorphisms, DG(M), of a compact Rogers" supermanifold, M, admits the structure of a G ~c manifold. We establish that the space of paths on Dc (M) based at the origin and the space of loops at the origin also admit G ~ structures such that we obtain an exact sequence of G
The structure of a strongly connected permutation automaton, a quasiperfect automaton, and a perfect automaton are discussed algebraically using group theory. A characterization theorem for the three classes of automata, a condition for direct product decomposability of a strongly connected permutat