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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)
MathSciNet review: 748971
MSC: Primary 58C27; Secondary 14B10, 32B30

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Table of Contents


  • 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
American Mathematical Society