Displaying similar documents to “On foliations in Sikorski differential spaces with Brouwerian leaves”

A topological version of Bertini's theorem

Artur Piękosz (1995)

Annales Polonici Mathematici

Similarity:

We give a topological version of a Bertini type theorem due to Abhyankar. A new definition of a branched covering is given. If the restriction π V : V → Y of the natural projection π: Y × Z → Y to a closed set V ⊂ Y × Z is a branched covering then, under certain assumptions, we can obtain generators of the fundamental group π₁((Y×Z).

In quest of weaker connected topologies

Mihail G. Tkachenko, Vladimir Vladimirovich Tkachuk, Vladimir Vladimirovich Uspenskij, Richard Gordon Wilson (1996)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We study when a topological space has a weaker connected topology. Various sufficient and necessary conditions are given for a space to have a weaker Hausdorff or regular connected topology. It is proved that the property of a space of having a weaker Tychonoff topology is preserved by any of the free topological group functors. Examples are given for non-preservation of this property by “nice” continuous mappings. The requirement that a space have a weaker Tychonoff connected topology...

A type of non-equivalent pseudogroups. Application to foliations

Jesús A. Alvarez López (1992)

Annales Polonici Mathematici

Similarity:

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.