000 01585nam a22002537a 4500
003 ISI Library, Kolkata
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020 _a0471623067
040 _aISI Library
082 _223
_bV287
_a514.223
100 _aVaradarajan, Kalathoor.
245 _aFiniteness obstruction of C. T. C. Wall
_cKalathoor Varadarajan.
260 _aNew York :
_bWiley-Interscience,
_c1989.
300 _ax, 194 p. ;
_c25 cm.
490 _aCanadian Mathematical Society series of monographs and advanced texts
504 _aIncludes bibliographical references and index.
505 _aChapter 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.
520 _aThis 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.
650 _aCW complexes.
650 _aK-theory.
650 _aHomotopy theory.
942 _2ddc
_cBK
999 _c418787
_d418787