Lms-epsrc Short Course on Algebraic Topology, Swansea, July 2005 Lecture Course 1: Homology and Cohomology Theories
نویسنده
چکیده
1. Cohomology theories: definition, examples including ordinary cohomology, K-theory and cobordism. 2. Products and operations: motivation, definitions and examples (especially K-theory). 3. New theories from old: splittings, Bousfield localization, formal group laws and the Landweber exact functor theorem. 4. Relationships between theories: some natural transformations, the chromatic viewpoint. 5. More structure: motivation, introduction to highly structured theories.
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