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The unfolding and determinacy theorems for subgroups of $\scr A$ and $\scr K$
About this Title
James Damon
Publication: Memoirs of the American Mathematical Society
Publication Year:
1984; Volume 50, Number 306
ISBNs: 978-0-8218-2306-4 (print); 978-1-4704-0719-3 (online)
DOI: https://doi.org/10.1090/memo/0306
MathSciNet review: 748971
MSC: Primary 58C27; Secondary 14B10, 32B30
Table of Contents
Chapters
- Part I. Preliminaries
- 1. Notation
- 2. Natural properties of $\mathcal {A}$ and $\mathcal {K}$
- 3. Several examples
- Part II. The algebra of adequate homomorphisms
- 4. Analytic and differentiable algebras
- 5. Finitely presented modules over differentiable algebras
- 6. Adequate homomorphisms and systems of rings
- 7. Versions of Mather’s lemma
- Part III. The unfolding and determinacy theorems
- 8. Geometric subgroups of $\mathcal {A}$ and $\mathcal {K}$
- 9. The unfolding theorem
- 10. The determinacy theorem
- 11. Extended versions of the unfolding and determinacy theorems
- 12. Examples
- Part IV. Proofs of the algebraic results
- 13. Adequacy for extended $DA$-algebras
- 14. Adequacy for systems and compositions
- 15. Proofs of the versions of Mather’s lemma