On the real algebra of Denjoy–Carleman classes
✍ Scribed by Federica Pieroni
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2007
- Tongue
- English
- Weight
- 671 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1022-1824
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let F : R n → R k (n k) be a polynomial mapping such that the real algebraic set X = F -1 (0) is compact. There are introduced a fundamental class [X] F ∈ H n-k (X; Z) and a topological degree deg(G) for G : X → R n-k+1 -{0}, which coincide with the usual ones when X is a smooth oriented m-manifold.
We apply the Lie-group based similarity method to the Carleman-model and calculate the generators of the group depending on four group constants. Heretofore undiscovered classes of similarity solutions will be presented, and already discovered solutions by Ernst and Wick will be rediscovered and cla