1.

Record Nr.

UNINA9910827403603321

Autore

Joyal André

Titolo

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

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1984

©1984

ISBN

1-4704-0722-1

Descrizione fisica

1 online resource (87 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 309

Disciplina

512/.32

Soggetti

Toposes

Galois theory

Theory of descent (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

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 � 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)] )""