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All compact orientable three dimensional manifolds admit total foliations

About this Title

Detlef Hardorp

Publication: Memoirs of the American Mathematical Society
Publication Year: 1980; Volume 26, Number 233
ISBNs: 978-0-8218-2233-3 (print); 978-1-4704-0637-0 (online)
DOI: https://doi.org/10.1090/memo/0233
MathSciNet review: 2213034
MSC: Primary 57N10; Secondary 57R15, 57R25, 57R30

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Table of Contents

Chapters

  • 1. Total foliations for $n$ dimensional manifolds
  • 2.
  • 3. Some simple examples of total foliations for $T^3$, $S^2 \times S^1$, and $S^3$
  • 4. Constructing total foliations for all oriented circle bundles over two manifolds
  • 5. Total foliations for the PoincarĂ© homology sphere ($Q^3$)
  • 6. Foliations of $Q^3$ with intertwining
  • 7. The proof of the main theorem