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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
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