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" Rings, modules, and algebras in stable homotopy theory / "
A.D. Elmendorf ... [et al.] ; with an appendix by M. Cole.
Document Type
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BL
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Record Number
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587100
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Doc. No
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b416319
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Title & Author
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Rings, modules, and algebras in stable homotopy theory /\ A.D. Elmendorf ... [et al.] ; with an appendix by M. Cole.
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Publication Statement
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Providence, R.I. :: American Mathematical Society,, c1997.
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Series Statement
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Mathematical surveys and monographs ;; v. 47
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Page. NO
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xi, 249 p. :: ill. ;; 26 cm.
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ISBN
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0821806386 (hard : acid-free paper)
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: 9780821806388 (hard : acid-free paper)
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: 9780821843031
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: 0821843036
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Bibliographies/Indexes
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Includes bibliographical references (p. 243-245) and index.
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Contents
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Ch. I. Prologue: the category of L-spectra -- Ch. II. Structured ring and module spectra -- Ch. III. The homotopy theory of R-modules -- Ch. IV. The algebraic theory of R-modules -- Ch. V. R-ring spectra and the specialization to MU -- Ch. VI. Algebraic K-theory of S-algebras -- Ch. VII. R-algebras and topological model categories -- Ch. VIII. Bousfield localizations of R-modules and algebras -- Ch. IX. Topological Hochschild homology and cohomology -- Ch. X. Some basic constructions on spectra -- Ch. XI. Spaces of linear isometries and technical theorems -- Ch. XII. The monadic bar construction -- Ch. XIII. Epilogue: The category of L-spectra under S -- Appendix A. Twisted half-smash products and function spectra.
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Subject
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Homotopy theory.
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Subject
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Point set theory.
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LC Classification
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QA612.7.R56 1997
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Added Entry
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Elmendorf, Anthony D.,1952-
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