{"product_id":"handbook-of-categorical-algebra-volume-3-sheaf-theory-hardback-9780521441803","title":"Handbook of Categorical Algebra: Volume 3, Sheaf Theory (Hardback) 9780521441803","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eHandbook of Categorical Algebra: Volume 3, Sheaf Theory\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThird in a three part set, this volume introduces topos theory and the idea of sheaves.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eFrancis Borceux (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521441803, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 8 December 1994\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e544 pages, 162 b\/w illus.  94 exercises\u003cbr\u003e24.1 x 16.1 x 3.3 cm, 0.929 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\" . . . these volumes will be of enormous value to graduate students in pure or applied category theory.\"   Martin Hyland, Mathematical Reviews\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe Handbook of Categorical Algebra is intended to give, in three volumes, a rather detailed account of what, ideally, everybody working in category theory should know, whatever the specific topic of research they have chosen. The book is planned also to serve as a reference book for both specialists in the field and all those using category theory as a tool. Volume 3 begins with the essential aspects of the theory of locales, proceeding to a study in chapter 2 of the sheaves on a locale and on a topological space, in their various equivalent presentations: functors, etale maps or W-sets. Next, this situation is generalized to the case of sheaves on a site and the corresponding notion of Grothendieck topos is introduced. Chapter 4 relates the theory of Grothendieck toposes with that of accessible categories and sketches, by proving the existence of a classifying topos for all coherent theories.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Introduction to the handbook\u003cbr\u003e 1. Locales\u003cbr\u003e 2. Sheaves\u003cbr\u003e 3. Grothendieck toposes\u003cbr\u003e 4. The classifying topos\u003cbr\u003e 5. Elementary toposes\u003cbr\u003e 6. Internal logic of a topos\u003cbr\u003e 7. The law of excluded middle\u003cbr\u003e 8. The axiom of infinity\u003cbr\u003e 9. Sheaves in a topos\u003cbr\u003e Index.\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":46007424549144,"sku":"9780521441803","price":199.88,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521441803i_7a1dbeaf-f623-47d5-b5db-210ffaa3d52f.jpg?v=1691381924","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/handbook-of-categorical-algebra-volume-3-sheaf-theory-hardback-9780521441803","provider":"Freshly Printed Books","version":"1.0","type":"link"}