On a Generalized Sturm-Liouville Problem
Some characteristic invariants of foliated bundles
CONTENTSIntroduction......................................................................50. Preliminaries................................................................7 0.1. Foliations.................................................................7 0.2. Foliated bundles....................................................12 0.3. Chern-Weil homomorphism....................................151. Category of RF-bundles.............................................212. Characteristic diagram for RF-bundles......................263....
A semi-simplicial approach to foliations and their transverse structure
CONTENTSIntroduction......................................................................................5I. The category of semi-simplicial manifolds.....................................7I. 1. Semi-simplicial manifolds and semi-simplicial morphisms..........7I. 2. Γ-bundles over ss-manifolds...................................................16I. 3. Morphisms of groupoids..........................................................26I. 4. The fundamental groupoid of an ss-manifold..........................30II....
On some sheaf cohomology of semi-simplicial manifolds and their realizations
CONTENTSIntroduction.........................................................................5I. Semi-simplicial morphisms and topology..........................7II. Foliated ss-manifolds and sheaf cohomology................13III. Sheaf cohomology of ss-manifolds...............................32References.......................................................................55
Characteristic classes of foliations preserved by a transverse k-field.
More characteristic invariants of foliated bundles
On regular tangent covectors, regular differential forms, and smooth vector fields on a differential space
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