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Topological triviality and versality for subgroups of $A$ and $K$

About this Title

James N. Damon

Publication: Memoirs of the American Mathematical Society
Publication Year: 1988; Volume 75, Number 389
ISBNs: 978-0-8218-2452-8 (print); 978-1-4704-0809-1 (online)
DOI: https://doi.org/10.1090/memo/0389
MathSciNet review: 961212
MSC: Primary 58C27

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Table of Contents

Chapters

  • Part I. Stratified vector fields without Whitney conditions
  • 1. An example illustrating the method
  • 2. Local integrability of stratified vector fields
  • 3. Sum of stratified vector fields
  • Part II. Algebraic stratifications and systems of DA-algebras
  • 4. Systems of DA-algebras
  • 5. Operations and properties modelled on DA-algebras
  • 6. Algebraic stratifications and algebraically stratified vector fields
  • 7. Several algebraic lemmas
  • Part III. The main theorems
  • 8. A special class of geometric subgroups (and some examples)
  • 9. Topological triviality and versality theorems in the weighted homogeneous case
  • 10. A reduction and the method for an example
  • 11. Collections of vector fields
  • 12. Filtered versions of the main theorems