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- catalog contributor b661315.
- catalog created "c1985.".
- catalog date "1985".
- catalog date "c1985.".
- catalog dateCopyrighted "c1985.".
- catalog description "Algebra -- An Informal Introduction -- "There is a spectral sequence ..." -- Lacunary phenomena -- Exploiting further structure -- Working backwards -- Interpreting the answer -- What is a Spectral Sequence? -- Definitions and basic properties -- How does a spectral sequence arise? -- Spectral sequences of algebras -- Algebraic applications -- Convergence of Spectral Sequences -- On convergence -- Limits and colimits -- Zeeman's comparison theorem -- Topology -- Topological Background -- CW-complexes -- Simplicial sets -- Fibrations -- Hopf algebras and the Steenrod algebra -- The Leray-Serre spectral sequence I -- Construction of the spectral sequence -- Immediate applications -- The Leray-Serre spectral sequence II -- A proof of theorem 6.1 -- The transgression -- Classifying spaces and characteristic classes -- Other constructions of the spectral sequence -- The Eilenberg-Moore Spectral Sequence I -- Differential homological algebra -- Bringing in the topology -- The Koszul complex -- The homology of quotient spaces of group actions -- The Eilenberg-Moore Spectral Sequence II -- On homogeneous spaces -- Differentials in the Eilenberg-Moore spectral sequence -- Further structure -- Nontrivial Fundamental Groups -- Actions of the fundamental group -- Homology of groups -- Nilpotent spaces and groups -- The Adams Spectral Sequence -- Motivation: What cohomology sees -- More homological algebra; the functor Ext -- The spectral sequence -- Other geometric applications -- Computations -- Further structure.".
- catalog description "Bibliography: p. 409-418.".
- catalog extent "xiii, 423 ;".
- catalog hasFormat "User's guide to spectral sequences.".
- catalog identifier "0914098217".
- catalog isFormatOf "User's guide to spectral sequences.".
- catalog isPartOf "Mathematics lecture series ; 12".
- catalog issued "1985".
- catalog issued "c1985.".
- catalog language "eng".
- catalog publisher "Wilmington, Del., U.S.A. : Publish or Perish,".
- catalog relation "User's guide to spectral sequences.".
- catalog subject "QA612.8 .M33 1985".
- catalog subject "Spectral sequences (Mathematics)".
- catalog tableOfContents "Algebra -- An Informal Introduction -- "There is a spectral sequence ..." -- Lacunary phenomena -- Exploiting further structure -- Working backwards -- Interpreting the answer -- What is a Spectral Sequence? -- Definitions and basic properties -- How does a spectral sequence arise? -- Spectral sequences of algebras -- Algebraic applications -- Convergence of Spectral Sequences -- On convergence -- Limits and colimits -- Zeeman's comparison theorem -- Topology -- Topological Background -- CW-complexes -- Simplicial sets -- Fibrations -- Hopf algebras and the Steenrod algebra -- The Leray-Serre spectral sequence I -- Construction of the spectral sequence -- Immediate applications -- The Leray-Serre spectral sequence II -- A proof of theorem 6.1 -- The transgression -- Classifying spaces and characteristic classes -- Other constructions of the spectral sequence -- The Eilenberg-Moore Spectral Sequence I -- Differential homological algebra -- Bringing in the topology -- The Koszul complex -- The homology of quotient spaces of group actions -- The Eilenberg-Moore Spectral Sequence II -- On homogeneous spaces -- Differentials in the Eilenberg-Moore spectral sequence -- Further structure -- Nontrivial Fundamental Groups -- Actions of the fundamental group -- Homology of groups -- Nilpotent spaces and groups -- The Adams Spectral Sequence -- Motivation: What cohomology sees -- More homological algebra; the functor Ext -- The spectral sequence -- Other geometric applications -- Computations -- Further structure.".
- catalog title "User's guide to spectral sequences / John McCleary.".
- catalog type "text".