Rational homotopy theory and differential graded category
スポンサーリンク
概要
- 論文の詳細を見る
We propose a generalization of Sullivan's de Rham homotopy theory to non-simply connected spaces. The formulation is such that the real homotopy type of a manifold should be the closed tensor dg-category of flat bundles on it much the same as the real homotopy type of a simply connected manifold is the de Rham algebra in original Sullivan's theory. We prove the existence of a model category structure on the category of small closed tensor dg-categories and as a most simple case, confirm an equivalence between the homotopy category of spaces whose fundamental groups are finite and whose higher homotopy groups are finite dimensional rational vector spaces and the homotopy category of small closed tensor dg-categories satisfying certain conditions.
論文 | ランダム
- Stresses and Deformations in a Transversely Isotropic Hollow Cylinder under a Ring of Radial Load
- Tension of an Infinite Body Having a Rigid Cylindrical Inclusion of Finite Length
- An Infinite Solid Cylinder under Bending by Concentrated Loads
- A Transversely Isotropic Circular Cylinder under Concentrated Loads
- An Infinite Solid Cylinder Subjected to Two Diametrically Opposite Concentrated Loads