• Hatcher: Spectral Sequences in Algebraic Topology
  So far only a small portion of the projected book is written.
  • Chapter 1. An introduction to the Serre spectral sequence, with a number of applications, mostly fairly standard. (65 pages, last modified January 5, 2004)
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  • Chapter 2. The Adams spectral sequence. Nothing of this is written yet.
  • Chapter 3. Eilenberg-Moore spectral sequences. (12 pages, last modified August 8, 2003)
• George W. Whitehead: Elements of Homotopy Theory. (QA635 W592)
  • Introuctory Notions
  • CW-complexes
  • Generalities on Homotopy classes of Mappings
  • Homotopy Groups
  • Homotopy theory of CW-complexes
  • Homology with Local Coefficients
  • Homology of Fibre Spaces: Elementary Theory.
  • The Homology Suspension
  • Postnikov Systems
  • On mappings into group-like Spaces
  • Homotopy operations
  • Stable homotopy and homology
  • Homology of Fibre Spaces
  • Appendix A: Compact Lie Groups
  • Appendix B: Additive Relations.
• Brayton Gray: Homotopy Theory
  Pure and Applied Math. Vol.64. Academic Press
  (QA630 G778)
  • Prelinimaries
  • Some simple topological spaces
  • Some simple topological problems
  • Homotopy Theory
  • Category Theory
  • The fundamental group
  • More on the fundamental group
  • Calculating the fundamental group

  • A convenient category of topological spaces: compactly generated spaces.
  • Track grous and homotopy groups
  • Relative Homotopy Groups
  • Locally trivial bundles
  • Simplicial Complexes and Linearity

  • Calculating homotopy groups: The Blakers-Massey Theorem (sehr speziell)
  • The topology of CW-complexes
  • Limits
  • The homotopy theory of CW-complexes (B-M: general)
  • Eilenberg-MacLane spaces and Postnikov systems
    ........
• A. T. Fomenko, D.B. Fuchs and V. L. Gutenmacher. Homotopic topology(QA635 F672)
• Joel M. Cohen: Stable Homotopy.
  Springer Lecture Notes in Mathematics. Vol. 165 (1970)
  1. Homotopy and Homoloy Not-So-Long Exact Sequences
  2. Eilenberg-MacLane spances and spectra
  3. Spanier-Whitehead duality
  4. Stable homotpy in categorical algebra (The Freyd category)
  5. Spectral sequences and calculation of stable homotopy
• Toda: Composition methods in homotopy groups of spheres.
  Princeton University Press 1962.
• The Steenrod Algebra and its Application
  Springer LNM 168 (1970)
• Lionel Schwartz: Unstable Modules over the Steenrod Algebra.
  University of Chicago Press 1994
• Douglas C. Ravenel: Complex cobordism and stable homotpy groups of spheres.
  Academic Press 1986
• Douglas C. Ravenel: Nilpotence and periodicity in stable homotopy theory.
  Annales of Math Studies 128. Princeton University Press 1992.

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