A semi-simplicial approach to foliations and their transverse structure
Grzegorz Andrzejczak
GDML_Books, (1991), p.

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. Foliations of semi-simplicial manifolds........................................41II. 1. Foliated ss-manifolds.............................................................41II. 2. Foliations modelled on a pseudogroup..................................51II. 3. Holonomy and the transverse structure.................................56II. 4. A relationship with fundamental groups..................................68II. 5. Foliated bundles and G-structures.........................................79References....................................................................................92Index of symbols............................................................................94Index..............................................................................................96

1991 Mathematics Subject Classification: Primary 57R30, 57P99; Secondary 57R32, 18B40, 57T99, 55U10.

EUDML-ID : urn:eudml:doc:268410 
@book{bwmeta1.element.zamlynska-d14ca6fe-b76c-4589-a119-345d2407f071,
     author = {Grzegorz Andrzejczak},
     title = {A semi-simplicial approach to foliations and their transverse structure},
     series = {GDML\_Books},
     publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
     address = {Warszawa},
     year = {1991},
     zbl = {0786.57001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-d14ca6fe-b76c-4589-a119-345d2407f071}
}

Grzegorz Andrzejczak. A semi-simplicial approach to foliations and their transverse structure. GDML_Books (1991),  http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-d14ca6fe-b76c-4589-a119-345d2407f071/