{"product_id":"higher-category-theory-all-in-one-skills-practice-workbook-with-full-step-by-step-solutions-math-magicians","title":"Higher Category Theory All in One Skills Practice Workbook with Full Step by Step Solutions (Math Magicians)","description":"Get ready to explore the intricate world of higher category theory with this comprehensive guide that deep-dives into the realms of infty-categories, derived and triangulated categories, and beyond. Perfect for those seeking to navigate advanced mathematical landscapes, this book delivers a holistic view of the subject, ranging from foundational concepts to specialized topics.\nKey Features: Delivers a thorough understanding of higher category theory and its applications. Explores a diverse range of topics within (∞,1)-categories and derived categories. Written by leading experts in the field of mathematical and categorical theory. Includes over 60 chapters of detailed exploration into various aspects of higher categories. Presents complex concepts in an accessible manner for advanced students and researchers. Provides a wealth of examples, diagrams, and exercises to enhance understanding.\nBook Description:\nDelve into the depths of higher category theory, a domain that offers groundbreaking perspectives on algebraic and geometric structures. This book provides an unparalleled exploration into the concepts of (∞,1)-categories, model categories, derived categories, and more, weaving a rich tapestry of theoretical insights and practical applications. With clear explanations and expertly curated content, this book elucidates even the most abstract principles in higher category theory. Whether you're a seasoned mathematician or an advanced student, this guide will equip you with a profound knowledge and appreciation for the subject's complexities and beauty.\nWhat You Will Learn: Grasp the basics of ((∞,1))-categories and their significance in mathematical theory. Model higher categories through simplicial sets. Comprehend quasi-categories and their nuances. Delve into Kan complexes and their role in higher categories. Explore the homotopy coherent nerve construction. Understand Segal spaces and complete Segal spaces. Investigate homotopy limits and colimits in (∞,1)-categories. Examine the interplay between model categories and higher category theory. Apply the Yoneda lemma within ((∞,1))-categories. Overview and structure of higher-dimensional algebra. Master the properties and roles of n-categories. Discover monoidal, braided monoidal, and symmetric monoidal categories. Learn about enriched categories and their algebraic significance. Explore operads and their organizing principles for algebraic operations. Study tensor and 2-categories in advanced algebraic frameworks. Delve into advanced aspects of higher homotopy theory. Unearth the complexity of tricategories and their importance. Understand the theory of A∞-algebras and infinity operads. Explore n-fold categories and higher category monoids. Integrate homotopy type theory with higher category theory. Analyze cohomology within higher-dimensional structures. Investigate higher algebraic K-theory. Explore the fascinating connections with n-tangles and topological quantum field theories. Understand derived, triangulated, and differential graded categories. Discover dg-algebras and abelian categories. Explore exact sequences, enhancements of derived categories, and fibrations. Delve into stable homotopy theory. Navigate the nuances of infinity-categories. Unpack spectral sequences and localization. Dive into Hochschild cohomology and Koszul duality. Analyze mutations, mapping spectra, and Grothendieck duality. Explore exceptional collections and perverse sheaves. Immerse in homotopy relational structures and homotopical algebra.\u003cbr\u003eASIN: B0DK5W1XSY\u003cbr\u003eVSKU: GBV.B0DK5W1XSY.A\u003cbr\u003eCondition: Acceptable\u003cbr\u003eAuthor\/Artist:Flux, Jamie\u003cbr\u003eBinding: Paperback\u003cbr\u003e\u003cb\u003eNote:\u003c\/b\u003e Any images shown are stock photographs and product may differ from what is shown.  \u003cbr\u003e\u003cb\u003eCondition Notes\u003c\/b\u003e: This book is in acceptable condition and may have highlighting and or writing throughout. The actual cover image may not match the stock photo, dust jacket may be damaged or missing. Book may show internal and or external wear on spine or cover and may be slightly skewed or have creased pages. This is a used book so codes may be invalid or accompanying media may be missing. May be an Ex library book with stickers and stamps.  \u003cbr\u003e","brand":"Good Books Company","offers":[{"title":"Default Title","offer_id":51848768913713,"sku":"GBV.B0DK5W1XSY.A","price":63.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0914\/3730\/2065\/files\/B0DK5W1XSY-0.jpg?v=1758221100","url":"https:\/\/goodbookscompany.org\/products\/higher-category-theory-all-in-one-skills-practice-workbook-with-full-step-by-step-solutions-math-magicians","provider":"Good Books Company","version":"1.0","type":"link"}