000			03382nam a22004813i 4500
001			EBC3113922
003			MiAaPQ
005			20240729124554.0
006			m o d |
007			cr cnu||||||||
008			240724s1984 xx o ||||0 eng d
020			_a9781470407223 _q(electronic bk.)
020			_z9780821823125
035			_a(MiAaPQ)EBC3113922
035			_a(Au-PeEL)EBL3113922
035			_a(CaPaEBR)ebr10918875
035			_a(OCoLC)891386237
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA169 -- .J693 1984eb
082	0		_a512/.32
100	1		_aJoyal, Andre.
245	1	0	_aExtension of the Galois Theory of Grothendieck.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1984.
264		4	_c©1984.
300			_a1 online resource (87 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.51
505	0		_aIntro -- 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)] ) -- 3. Determination of sl(sh(A)) and loc(sh(A)) for A ε loc(S) -- 4. The Beck-Chevalley conditions -- 5. The spatial reflection -- Chapter VII - Open morphisms of topoi -- 1. Open geometric morphisms -- 2. A site characterization of openness -- 3. The spatial cover -- 4. A characterization of atomic topoi -- Chapter VIII - Descent morphisms of topoi -- 1. Effective descent morpnisms -- 2. Open surjections -- 3. Applications to the structure of topoi -- References.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aToposes.
650		0	_aGalois theory.
650		0	_aTheory of descent (Mathematics).
655		4	_aElectronic books.
700	1		_aTierney, Myles.
776	0	8	_iPrint version: _aJoyal, Andre _tExtension of the Galois Theory of Grothendieck _dProvidence : American Mathematical Society,c1984 _z9780821823125
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113922 _zClick to View
999			_c69453 _d69453