{"product_id":"singular-coverings-of-toposes-paperback","title":"Singular Coverings of Toposes - 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\u003eMarta Bunge\u003c\/b\u003e (Author), \u003cb\u003eJonathon Funk\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis volume presents a self-contained theory of certain singular coverings of toposes, including branched coverings. This book is distinguished from classical treatments of the subject by its unexpected connection with a topic from functional analysis, namely, distributions. Although primarily aimed at topos theorists, this book may also be used as a textbook for advanced graduate courses introducing topos theory with an emphasis on geometric applications.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe self-contained theory of certain singular coverings of toposes called complete spreads, that is presented in this volume, is a field of interest to topologists working in knot theory, as well as to various categorists. It extends the complete spreads in topology due to R. H. Fox (1957) but, unlike the classical theory, it emphasizes an unexpected connection with topos distributions in the sense of F. W. Lawvere (1983). The constructions, though often motivated by classical theories, are sometimes quite different from them. Special classes of distributions and of complete spreads, inspired respectively by functional analysis and topology, are studied. Among the former are the probability distributions; the branched coverings are singled out amongst the latter.\u003c\/p\u003e \u003cp\u003eThis volume may also be used as a textbook for an advanced one-year graduate course introducing topos theory with an emphasis on geometric applications. Throughout the authors emphasize open problems. Several routine proofs are left as exercises, but also as 'exercises' the reader will find open questions for possible future work in a variety of topics in mathematics that can profit from a categorical approach.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eMarta Bunge was born in Argentina where she studied philosophy and mathematics. She did her graduate work in mathematics at the University of Pennsylvania where she obtained her Ph. D. degree in 1966 under the supervision of Peter Freyd and F. William Lawvere. She has worked at McGill University since 1966, where she is currently Professor Emerita. She has been a visitor at mathematics institutes in Aarhus, Zurich, Mexico, Geneva, Mallorca, Genoa, and Sydney. \u003c\/p\u003e \u003cp\u003eJonathon Funk was born in Saskatchewan where he studied mathematics before coming to McGill University, where in 1991 he completed a Ph. D. under the supervision of Marta Bunge. Since then he has worked in Newfoundland, Cyprus, British Columbia, and Regina. Presently, he is Lecturer at the University of the West Indies in Barbados. He has been a visitor to McGill University on several occasions.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 225\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.6 x 9.1 x 6.1 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 August 21, 2006\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52704865354035,"sku":"9783540363590","price":96.08,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/U3RENHlueGcydjNyOUF3V0VuNmFHQT09.webp?v=1763366316","url":"https:\/\/www.vysn.com\/en-ca\/products\/singular-coverings-of-toposes-paperback","provider":"VYSN","version":"1.0","type":"link"}