Displaying similar documents to “On Lie algebras of vector fields related to Riemannian foliations”

A type of non-equivalent pseudogroups. Application to foliations

Jesús A. Alvarez López (1992)

Annales Polonici Mathematici

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A topological result for non-Hausdorff spaces is proved and used to obtain a non-equivalence theorem for pseudogroups of local transformations. This theorem is applied to the holonomy pseudogroup of foliations.

On foliations in Sikorski differential spaces with Brouwerian leaves

Włodzimierz Waliszewski (1991)

Annales Polonici Mathematici

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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...