We propose a definition of persistent Stiefel–Whitney classes vector bundle filtrations. It relies on seeing bundles as subsets some Euclidean spaces. The usual ?ech filtration such subset can be endowed with structure, that we call filtration. show this construction is stable and consistent. When the dataset finite sample line bundle, implement an effective algorithm to compute its first class...

We extend to the spatial case a technique of integration close encounters formulated by Tullio Levi-Civita for planar restricted three-body problem. consider Hamiltonian introduced in Kustaanheimo-Stiefel regularization and construct complete integral related Hamilton-Jacobi equation means series convergent neighbourhood collisions with primary or secondary body.