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Record Nr. |
UNINA9910827403603321 |
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Autore |
Joyal André |
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Titolo |
An extension of the Galois theory of Grothendieck / / André Joyal, Myles Tierney |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1984 |
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©1984 |
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ISBN |
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Descrizione fisica |
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1 online resource (87 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 309 |
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Disciplina |
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Soggetti |
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Toposes |
Galois theory |
Theory of descent (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"September 1984, Volume 51, Number 309 (third of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Table of Contents""; ""Introduction""; ""Chapter I � Sup�lattices""; ""1. Definitions and duality""; ""2. Limits and colimits""; ""3. Free sup�lattices""; ""4. Sub and quotient lattices""; ""5. Tensor products""; ""Chapter II � 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 � 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 � Spaces""; ""1. Subspaces""; ""2. Points and discrete spaces""; ""3. The Sierpinski space""; ""4. Pullbacks and projective limits""; ""5. The splitting space""; ""Chapter V � 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 � Change of base""; ""1. Change of base for sup�lattices and locales""; ""2. Determination of sl(S�[sup(Aop)] ) and loc(S�[sup(Aop)] )"" |
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