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Algebraic Homotopy

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Lecture notes from a seminar on algebraic topology given in 1956 by Moore at Princeton University. Also referred to as "Seminar on Algebraic Homotopy Theory" by J. C. Moore.

Author(s): John C. Moore
Year: 1956

Language: English
Pages: 171
City: Princeton, New Jersey
Tags: homotopy theory, simplicial methods, simplicial sets, algebraic topology

1. Semi-simplicial complexes
- Appendix A
- Appendix B: Definition of Homotopy Groups by Mappings of Spheres
- Appendix C: Proof of the Hurewicz theorem
The realization of a semi-simplicial complex
2. Monoid Complexes and Production of semi-simplicial complexes
- Appendix A: Abelian Group Complexes
The Construction FK
3. Acyclic Models
4. Spectral Sequences
5. DGA Algebras & the Construction of Cartan