{"product_id":"categorical-homotopy-theory-24-new-mathematical-monographs-series-number-24-9781107048454","title":"Categorical Homotopy Theory 24 New Mathematical Monographs Series Number 24","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis categorical perspective on homotopy theory helps consolidate and simplify one's understanding of derived functors, homotopy limits and colimits, and model categories, among others.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePart I. Derived Functors and Homotopy (Co)limits: 1. All concepts are Kan extensions; 2. Derived functors via deformations; 3. Basic concepts of enriched category theory; 4. The unreasonably effective (co)bar construction; 5. Homotopy limits and colimits: the theory; 6. Homotopy limits and colimits: the practice; Part II. Enriched Homotopy Theory: 7. Weighted limits and colimits; 8. Categorical tools for homotopy (co)limit computations; 9. Weighted homotopy limits and colimits; 10. Derived enrichment; Part III. Model Categories and Weak Factorization Systems: 11. Weak factorization systems in model categories; 12. Algebraic perspectives on the small object argument; 13. Enriched factorizations and enriched lifting properties; 14. A brief tour of Reedy category theory; Part IV. Quasi-Categories: 15. Preliminaries on quasi-categories; 16. Simplicial categories and homotopy coherence; 17. Isomorphisms in quasi-categories; 18. A sampling of 2-categorical aspects of quasi-category theory.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":51768969429335,"sku":"9781107048454","price":78.84,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781107048454.jpg?v=1758719200","url":"https:\/\/bookcurl.com\/products\/categorical-homotopy-theory-24-new-mathematical-monographs-series-number-24-9781107048454","provider":"Book Curl","version":"1.0","type":"link"}