Steenrod Squares in Spectral Sequences (inbunden)
Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
155
Utgivningsdatum
2006-10-01
Förlag
American Mathematical Society
Dimensioner
260 x 184 x 12 mm
Vikt
453 g
Antal komponenter
1
ISSN
0076-5376
ISBN
9780821841419
Steenrod Squares in Spectral Sequences (inbunden)

Steenrod Squares in Spectral Sequences

Inbunden Engelska, 2006-10-01
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This book develops a general theory of Steenrod operations in spectral sequences. It gives special attention to the change-of-rings spectral sequence for the cohomology of an extension of Hopf algebras and to the Eilenberg-Moore spectral sequence for the cohomology of classifying spaces and homotopy orbit spaces. In treating the change-of-rings spectral sequence, the book develops from scratch the necessary properties of extensions of Hopf algebras and constructs the spectral sequence in a form particularly suited to the introduction of Steenrod squares. The resulting theory can be used effectively for the computation of the cohomology rings of groups and Hopf algebras, and of the Steenrod algebra in particular, and so should play a useful role in stable homotopy theory. Similarly, the book offers a self-contained construction of the Eilenberg-Moore spectral sequence, in a form suitable for the introduction of Steenrod operations.
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Innehållsförteckning

Conventions; The spectral sequence of a bisimplicial coalgebra; Bialgebra actions on the cohomology of algebras; Extensions of Hopf algebras; Steenrod operations in the change-of-rings spectral sequence; The Eilenberg-Moore spectral sequence; Steenrod operations in the Eilenberg-Moore spectral sequence; Bibliography; Index