A semi-simplicial approach to foliations and their transverse structure

Grzegorz Andrzejczak

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1991

Abstract

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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

How to cite

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Grzegorz Andrzejczak. A semi-simplicial approach to foliations and their transverse structure. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1991. <http://eudml.org/doc/268410>.

@book{GrzegorzAndrzejczak1991,
abstract = {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},
author = {Grzegorz Andrzejczak},
keywords = {semi-simplicial manifolds; classification of foliations; transverse structures; holonomy},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {A semi-simplicial approach to foliations and their transverse structure},
url = {http://eudml.org/doc/268410},
year = {1991},
}

TY - BOOK
AU - Grzegorz Andrzejczak
TI - A semi-simplicial approach to foliations and their transverse structure
PY - 1991
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - 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
LA - eng
KW - semi-simplicial manifolds; classification of foliations; transverse structures; holonomy
UR - http://eudml.org/doc/268410
ER -

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