An extension of the Galois theory of Grothendieck / / André Joyal, Myles Tierney

• Autore: Joyal André
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 1984; ©1984
• Descrizione fisica: 1 online resource (87 p.)
• Disciplina: 512/.32
• Soggetto topico: Toposes; Galois theory; Theory of descent (Mathematics)
• Persona (resp. second.): TierneyMyles <1937->
• Note generali: "September 1984, Volume 51, Number 309 (third of 4 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Table of Contents""; ""Introduction""; ""Chapter I â€? Supâ€?lattices""; ""1. Definitions and duality""; ""2. Limits and colimits""; ""3. Free supâ€?lattices""; ""4. Sub and quotient lattices""; ""5. Tensor products""; ""Chapter II â€? Rings, modules and descent""; ""1. Rings and modules""; ""2. Tensor product of modules""; ""3. Change of rings""; ""4. Flatness, projectivity, and purity""; ""5. Descent theory for modules""; ""Chapter III â€? Locales""; ""1. Locales and commutative monoids""; ""2. Limits and colimits""; ""3. The free locale""; ""4. Local operators and quotients"" ; ""5. The splitting locale""""Chapter IV â€? Spaces""; ""1. Subspaces""; ""2. Points and discrete spaces""; ""3. The Sierpinski space""; ""4. Pullbacks and projective limits""; ""5. The splitting space""; ""Chapter V â€? Open maps of spaces""; ""1. Open maps - definition""; ""2. Open subspaces""; ""3. Conditions for openness""; ""4. Open surjections, pullbacks""; ""5. A characterization of discrete spaces""; ""Chapter VI â€? Change of base""; ""1. Change of base for supâ€?lattices and locales""; ""2. Determination of sl(Sâ€?[sup(Aop)] ) and loc(Sâ€?[sup(Aop)] )""
• Titolo autorizzato: An extension of the Galois theory of Grothendieck
• ISBN: 1-4704-0722-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788888603321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; Number 309.