On a weak coregular division of a differential space
On differential spaces whose Cartesian product is a differentiable manifold
On differential subspaces of Cartesian space
On equivalence relations on a differential space
On exterior forms and exterior differential on a differential space of finite dimension.
On Finite Determinacy of Formal Vector Fields.
On foliations in Sikorski differential spaces with Brouwerian leaves
The class of locally connected and locally homeomorphically homogeneous topological spaces such that every one-to-one continuous mapping of an open subspace into the space is open has been considered. For a foliation F [3] on a Sikorski differential space M with leaves having the above properties it is proved that for some open sets U in M covering the set of all points of M the connected components of U ∩ L̲ in the topology of M coincide with the connected components in the topology of L for L∈...
On foliations of differential spaces
On foliations with coregular factor mapping
On regular tangent covectors, regular differential forms, and smooth vector fields on a differential space
On some sheaves over a differential space
On the formula of Ślebodziński for Lie derivative of tensor fields in a differential space
On the tangent bundle and cotangent bundle of a differential space
Orbits of families of vector fields on subcartesian spaces
Orbits of complete families of vector fields on a subcartesian space are shown to be smooth manifolds. This allows a description of the structure of the reduced phase space of a Hamiltonian system in terms of the reduced Poisson algebra. Moreover, one can give a global description of smooth geometric structures on a family of manifolds, which form a singular foliation of a subcartesian space, in terms of objects defined on the corresponding family of vector fields. Stratified...