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Unfolding and Determinacy Theorems for Subgroups of A and K.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1984Copyright date: ©1984Edition: 1st edDescription: 1 online resource (102 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470407193
Subject(s): Genre/Form: Additional physical formats: Print version:: Unfolding and Determinacy Theorems for Subgroups of A and KDDC classification:
  • 514/.74
LOC classification:
  • QA614.58 -- .D366 1984eb
Online resources:
Contents:
Intro -- TABLE OF CONTENTS -- INTRODUCTION -- PART I. PRELIMINARIES -- 1 Notation -- 2 Natural Properties of A and 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 A and 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 -- BIBLIOGRAPHY.
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Intro -- TABLE OF CONTENTS -- INTRODUCTION -- PART I. PRELIMINARIES -- 1 Notation -- 2 Natural Properties of A and 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 A and 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 -- BIBLIOGRAPHY.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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