Categorical Homotopy Theory

Categorical Homotopy Theory delves into the abstract realm of homotopy theory, presenting it from a categorical perspective with a strong emphasis on practical examples. The book is divided into four parts, each tackling different aspects of the subject. Part I compares two initial perspectives on homotopy (co)limits, demonstrating their unity and irrelevance of model structures on diagram categories. Part II further examines this topic, separating categorical arguments from homotopical ones. Part III simplifies familiar model categorical lemmas and definitions by focusing on weak factorization systems, while Part IV introduces quasi-categories and homotopy coherence. /n/n Author Emily Riehl's approach makes complex ideas more accessible, providing a comprehensive guide for those interested in advanced mathematical concepts. The book is not just about theory; it's about understanding and applying these concepts in a meaningful way.