Birgit Richter is Professor of Mathematics at Universität Hamburg. She is the co-editor of Structured Ring Spectra (2004) and New Topological Contexts for Galois Theory and Algebraic Geometry (2009).
Inhaltsangabe
Introduction Part I. Category Theory: 1. Basic notions in category theory 2. Natural transformations and the Yoneda lemma 3. Colimits and limits 4. Kan extensions 5. Comma categories and the Grothendieck construction 6. Monads and comonads 7. Abelian categories 8. Symmetric monoidal categories 9. Enriched categories Part II. From Categories to Homotopy Theory: 10. Simplicial objects 11. The nerve and the classifying space of a small category 12. A brief introduction to operads 13. Classifying spaces of symmetric monoidal categories 14. Approaches to iterated loop spaces via diagram categories 15. Functor homology 16. Homology and cohomology of small categories References Index.
Introduction Part I. Category Theory: 1. Basic notions in category theory 2. Natural transformations and the Yoneda lemma 3. Colimits and limits 4. Kan extensions 5. Comma categories and the Grothendieck construction 6. Monads and comonads 7. Abelian categories 8. Symmetric monoidal categories 9. Enriched categories Part II. From Categories to Homotopy Theory: 10. Simplicial objects 11. The nerve and the classifying space of a small category 12. A brief introduction to operads 13. Classifying spaces of symmetric monoidal categories 14. Approaches to iterated loop spaces via diagram categories 15. Functor homology 16. Homology and cohomology of small categories References Index.
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