{"product_id":"toposes-and-local-set-theories-an-introduction-paperback-1","title":"Toposes and Local Set Theories: An Introduction - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eJ. L. Bell\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eTopos theory has led to unexpected connections between classical and constructive mathematics. This text explores Lawvere and Tierney's concept of \u003ci\u003etopos\u003c\/i\u003e theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory, and intuitionistic logic. A virtually self-contained introduction, this volume presents toposes as the models of theories -- known as local set theories -- formulated within a typed intuitionistic logic.\u003cbr\u003eThe introductory chapter explores elements of category theory, including limits and colimits, functors, adjunctions, Cartesian closed categories, and Galois connections. Succeeding chapters examine the concept of topos, local set theories, fundamental properties of toposes, sheaves, locale-valued sets, and natural and real numbers in local set theories. An epilogue surveys the wider significance of topos theory, and the text concludes with helpful supplements, including an appendix, historical and bibliographical notes, references, and indexes.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eJ. L. Bell is a Professor at the University of Western Ontario and co-author of Dover's \u003ci\u003eModels and Ultraproducts\u003c\/i\u003e.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 267\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.56 x 8.41 x 5.51 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e January 11, 2008\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52704500187443,"sku":"9780486462868","price":23.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/TnltRmRtYnNsR0tLeld1SmN1MUJRQT09_5729b763-89cf-450e-8a60-2d2f47f5b736.webp?v=1763355596","url":"https:\/\/www.vysn.com\/en-ca\/products\/toposes-and-local-set-theories-an-introduction-paperback-1","provider":"VYSN","version":"1.0","type":"link"}