Robert E Mosher, Martin C Tangora

Cohomology Operations and Applications in Homotopy Theory

• Broschiertes Buch

Produktbeschreibung

This treatment explores the single most important variety of cohomology operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications. 1968 edition.

Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 224
• Erscheinungstermin: 26. Juni 2008
• Englisch
• Abmessung: 216mm x 140mm x 12mm
• Gewicht: 236g
• ISBN-13: 9780486466644
• ISBN-10: 0486466647
• Artikelnr.: 23364549

Inhaltsangabe

Preface 1. Introduction to cohomology operations 2. Construction of the
Steenrod squares 3. Properties of the squares 4. Application: the Hopf
invariant 5. Application: vector fields on spheres 6. The Steenrod algebra
7. Exact couples and spectral sequences 8. Fibre spaces 9. Cohomology of
K(pi, n) 10. Classes of Abelian groups 11. More about fiber spaces 12.
Applications: some homotopy groups of spheres 13. n-Type and Postnikov
systems 14. Mapping sequences and homotopy classification 15. Properties of
the stable range 16. Higher cohomology operations 17. Compositions in the
stable homotopy of spheres 18. The Adams spectral sequence Bibliography
Index