{"product_id":"higher-operads-higher-categories-paperback-9780521532150","title":"Higher Operads, Higher Categories (Paperback) 9780521532150","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eHigher Operads, Higher Categories\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eFoundations of higher dimensional category theory for graduate students and researchers in mathematics and mathematical physics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eTom Leinster (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521532150, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 22 July 2004\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e448 pages, 150 b\/w illus.\u003cbr\u003e22.9 x 15.2 x 2.5 cm, 0.584 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eHigher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from areas as diverse as topology, quantum algebra, mathematical physics, logic, and theoretical computer science. The heart of this book is the language of generalized operads. This is as natural and transparent a language for higher category theory as the language of sheaves is for algebraic geometry, or vector spaces for linear algebra. It is introduced carefully, then used to give simple descriptions of a variety of higher categorical structures. In particular, one possible definition of n-category is discussed in detail, and some common aspects of other possible definitions are established. This is the first book on the subject and lays its foundations. It will appeal to both graduate students and established researchers who wish to become acquainted with this modern branch of mathematics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Background: 1. Classical categorical structures\u003cbr\u003e 2. Classical operads and multicategories\u003cbr\u003e 3. Notions of monoidal category\u003cbr\u003e Part II. Operads. 4. Generalized operads and multicategories: basics\u003cbr\u003e 5. Example: fc-multicategories\u003cbr\u003e 6. Generalized operads and multicategories: further theory\u003cbr\u003e 7. Opetopes\u003cbr\u003e Part III. n-categories: 8. Globular operads\u003cbr\u003e 9. A definition of weak n-category\u003cbr\u003e 10. Other definitions of weak n-category\u003cbr\u003e Appendices: A. Symmetric structures\u003cbr\u003e B. Coherence for monoidal categories\u003cbr\u003e C. Special Cartesian monads\u003cbr\u003e D. Free multicategories\u003cbr\u003e E. Definitions of trees\u003cbr\u003e F. Free strict n-categories\u003cbr\u003e G. Initial operad-with-contraction.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical foundations [\u003ca title=\"See our other books on Mathematical foundations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20foundations%20%5BPBC%5D%22\"\u003ePBC\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46004446134552,"sku":"9780521532150","price":97.69,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521532150i_13160da2-4d9b-46bd-9d76-bd57a0013955.jpg?v=1691369067","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/higher-operads-higher-categories-paperback-9780521532150","provider":"Freshly Printed Books","version":"1.0","type":"link"}