LS-categories for foliated manifolds
H Colman - Foliations: geometry and dynamics, 2002 - World Scientific
Foliations: geometry and dynamics, 2002•World Scientific
The purpose of this paper is to introduce some foliated generalizations of category, in the
sense of Lusternik and Schnirelmann. We generalize the classical LS-theory to foliations
and prove a generalization of the Lusternik and Schnirelmann's main result for compact-
Hausdorff foliations.
sense of Lusternik and Schnirelmann. We generalize the classical LS-theory to foliations
and prove a generalization of the Lusternik and Schnirelmann's main result for compact-
Hausdorff foliations.
Abstract
The purpose of this paper is to introduce some foliated generalizations of category, in the sense of Lusternik and Schnirelmann. We generalize the classical LS-theory to foliations and prove a generalization of the Lusternik and Schnirelmann's main result for compact-Hausdorff foliations.
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