On foliations in Sikorski differential spaces with Brouwerian leaves

Włodzimierz Waliszewski

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

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Caldas, M., Georgiou, D.N., Jafari, S. (2007)

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A topological version of Bertini's theorem

Artur Piękosz (1995)

Annales Polonici Mathematici

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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 $π_{V} : V \to Y$ 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).

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

Commentationes Mathematicae Universitatis Carolinae

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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...

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S. Iliadis, S. Zafiridou (1992)

Fundamenta Mathematicae

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We prove that in some families of planar rational compacta there are no universal elements.

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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.

Determination of the topological structure of an orbifold by its group of orbifold diffeomorphisms.

Borzellino, Joseph E., Brunsden, Victor (2003)

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V. Filippov (1996)

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