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Finiteness obstruction of C. T. C. Wall Kalathoor Varadarajan.

By: Material type: TextTextSeries: Canadian Mathematical Society series of monographs and advanced textsPublication details: New York : Wiley-Interscience, 1989.Description: x, 194 p. ; 25 cmISBN:
  • 0471623067
Subject(s): DDC classification:
  • 23 V287 514.223
Contents:
Chapter 1: CW-Complexes and J.H.C. Whitehead's theorems-- Chapter 2: E. Dror's generalization of Whitehead's theorem-- Chapter 3: Grothendieck groups-- Chapter 4: Relationship between K0(R) and the ideal class group when R is a dedekind domain-- Chapter 5: Dock sang Rim's theorem-- Chapter 6: Finiteness obstruction of C.T.C. wall-- Chapter 7: Finitely dominated Nilpotent spaces-- References-- Index.
Summary: This monograph gives an account of C.T.C.Wall's work on finiteness conditions on CW-complexes. Varadarayan recasts Wall's obstruction proofs in algebraic terms (the proofs depending upon results from algebraic number theory and on K-theoretic induction theorems), and ends with a study of finitely-dominated nilpotent spaces. Most of the material in this volume appears for the first time in book form.
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Includes bibliographical references and index.

Chapter 1: CW-Complexes and J.H.C. Whitehead's theorems--
Chapter 2: E. Dror's generalization of Whitehead's theorem--
Chapter 3: Grothendieck groups--
Chapter 4: Relationship between K0(R) and the ideal class group when R is a dedekind domain--
Chapter 5: Dock sang Rim's theorem--
Chapter 6: Finiteness obstruction of C.T.C. wall--
Chapter 7: Finitely dominated Nilpotent spaces--

References--
Index.

This monograph gives an account of C.T.C.Wall's work on finiteness conditions on CW-complexes. Varadarayan recasts Wall's obstruction proofs in algebraic terms (the proofs depending upon results from algebraic number theory and on K-theoretic induction theorems), and ends with a study of finitely-dominated nilpotent spaces. Most of the material in this volume appears for the first time in book form.

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