Grothendieck spectral sequence - Revision history

en>Yobot: WP:CHECKWIKI error fixes using AWB (10093)

2014-05-05T12:04:02Z

WP:CHECKWIKI error fixes using AWB (10093)

← Older revision		Revision as of 14:04, 5 May 2014
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	~~In [[algebraic topology]],~~ the '~~''De Rham–Weil theorem''' allows computation of [[sheaf cohomology]] using an [[acyclic sheaf\|acyclic]] [[injective resolution\|resolution]] of the sheaf in question~~.		Alyson is the name individuals use to contact me and I think it seems fairly good when you say it. The favorite hobby for him and his kids is to play lacross and he would never give it up. Alaska is exactly where I've always been living. Office supervising cheap psychic readings ([http://cspl.postech.ac.kr/zboard/Membersonly/144571 http://cspl.postech.ac.kr]) is exactly psychic readers; [http://isaworld.pe.kr/?document_srl=392088 http://isaworld.pe.kr], where my main earnings comes from but I've usually wanted my own business.<br><br>my web blog - real psychic ([http://www.prograd.uff.br/novo/facts-about-growing-greater-organic-garden www.prograd.uff.br])

	~~Let~~ ~~<math>\mathcal F</math> be a [[sheaf~~ (~~mathematics)\|sheaf]] on a~~ [~~[topological space~~]~~] <math>X</math> and~~ ~~<math>\mathcal F^\bullet<~~/~~math> a resolution of <math>\mathcal F<~~/~~math> by acyclic sheaves~~. ~~Then~~

	:~~<math> H^q(X,\mathcal F) \cong H^q(\mathcal F^\bullet(X))~~, ~~</math>~~

	where ~~<math>H^q(X,\mathcal F)~~<~~/math~~> ~~denotes the~~ <~~math>q</math~~>-th [~~[sheaf cohomology]] [[Inverse (mathematics)\|group]] of <math>X<~~/~~math> with coefficients in <math>\mathcal F~~.</~~math>~~

	~~The De Rham–Weil theorem follows from the more general fact that derived functors may be computed using acyclic resolutions instead of simply injective resolutions.~~

	~~{{PlanetMath attribution\|id=6333\|title=De Rham~~-~~Weil theorem}}~~

	~~{{DEFAULTSORT:De Rham~~-~~Weil theorem}}~~
	~~[[Category:Homological algebra]]~~
	~~[[Category:Sheaf theory]~~]

en>秋水无涯 at 15:01, 7 November 2012

2012-11-07T15:01:09Z

← Older revision		Revision as of 17:01, 7 November 2012
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	~~Alyson is~~ the ~~title people~~ [~~http://www.khuplaza.com/dent/14869889 spirit messages~~] ~~use to contact me and I think it sounds quite good when you say it. My day job is~~ an ~~invoicing officer but I've currently applied for another one. One~~ of the ~~issues she loves most is canoeing and she's been performing it for quite a whilst~~. ~~For years she's been living in Kentucky but~~ ~~free psychic reading~~ ([~~http:~~//~~www~~.~~prograd.uff.br~~/~~novo~~/~~facts~~-~~about-growing-greater-organic-garden www.prograd.uff.br~~]) ~~her spouse wants them to move.~~<br><br>~~my site~~ ..~~. psychic readers~~ [[~~http~~:~~//www.herandkingscounty.com/content/information-and-facts-you-must-know-about-hobbies herandkingscounty.com~~]]		In [[algebraic topology]], the '''De Rham–Weil theorem''' allows computation of [[sheaf cohomology]] using an [[acyclic sheaf\|acyclic]] [[injective resolution\|resolution]] of the sheaf in question.

			Let <math>\mathcal F</math> be a [[sheaf (mathematics)\|sheaf]] on a [[topological space]] <math>X</math> and <math>\mathcal F^\bullet</math> a resolution of <math>\mathcal F</math> by acyclic sheaves. Then

			:<math> H^q(X,\mathcal F) \cong H^q(\mathcal F^\bullet(X)), </math>

			where <math>H^q(X,\mathcal F)</math> denotes the <math>q</math>-th [[sheaf cohomology]] [[Inverse (mathematics)\|group]] of <math>X</math> with coefficients in <math>\mathcal F.</math>

			The De Rham–Weil theorem follows from the more general fact that derived functors may be computed using acyclic resolutions instead of simply injective resolutions.

			{{PlanetMath attribution\|id=6333\|title=De Rham-Weil theorem}}

			{{DEFAULTSORT:De Rham-Weil theorem}}
			[[Category:Homological algebra]]
			[[Category:Sheaf theory]]

en>TakuyaMurata: better wording

2012-08-25T15:43:04Z

better wording

New page

Alyson is the title people [http://www.khuplaza.com/dent/14869889 spirit messages] use to contact me and I think it sounds quite good when you say it. My day job is an invoicing officer but I've currently applied for another one. One of the issues she loves most is canoeing and she's been performing it for quite a whilst. For years she's been living in Kentucky but free psychic reading ([http://www.prograd.uff.br/novo/facts-about-growing-greater-organic-garden www.prograd.uff.br]) her spouse wants them to move.<br><br>my site ... psychic readers [[http://www.herandkingscounty.com/content/information-and-facts-you-must-know-about-hobbies herandkingscounty.com]]