How to Order

For AMS eBook frontlist subscriptions or backfile collection purchases:

   1a. To purchase any ebook backfile or to subscibe to the current year of Contemporary Mathematics, please download this required license agreement,

   1b. To subscribe to the current year of Memoirs of the AMS, please download this required license agreement.

   2. Complete and sign the license agreement.

   3. Email, fax, or send via postal mail to:

Customer Services
American Mathematical Society
201 Charles Street Providence, RI 02904-2213  USA
Phone: 1-800-321-4AMS (4267)
Fax: 1-401-455-4046

Visit the AMS Bookstore for individual volume purchases.

Browse the current eBook Collections price list

Powered by MathJax
  Remote Access

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

View full volume PDF

View other years and numbers:

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