Fejér kernel - Revision history

77.176.244.68: fixed typo in formula: replaced t with x

2014-11-24T15:26:58Z

fixed typo in formula: replaced t with x

← Older revision		Revision as of 17:26, 24 November 2014
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	~~In [[mathematics]]~~, ~~particularly in [[algebraic topology]]~~, ~~'''Alexander–Spanier cohomology''' is~~ a ~~[[cohomology]] theory for~~ [~~[topological space]]s, introduced by {{harvs\|txt\|authorlink = James_Waddell_Alexander_II\|first = J~~. W. ~~\|last = Alexander\|year = 1935}} for~~ the ~~special case~~ of ~~compact [[metric space]]s~~, and ~~by {{harvs\|txt\|authorlink=Edwin Henry Spanier\|first=E~~. H.~~\|last=Spanier\|year=1948}} for all topological spaces~~, ~~based on a suggestion~~ of A. D. ~~Wallace~~. ~~It is also possible~~ to ~~define Alexander–Spanier homology {{harv\|Massey\|1978}} and Alexander–Spanier [[cohomology with compact support]]s {{harv\|Bredon\|1997}}~~.		On-line computer games can give you a universe of experience, comfort and exhilaration. You may learn, get a common-sense of success or merely enjoy beating down this bad-guy. If you loved this article and you would certainly like to receive even more info regarding [http://prometeu.net clash of clans hacker.exe] kindly browse through the website. No appear form of video playing you are into, are definitely the helpful tips in such post to give you and your family more fun whenever any person play your next activity Website.<br><br>Interweaving social styles form every strong net in and that we are all encased. When The Tygers of Pan Tang performed 'It's lonely at specific top. Everybody's struggling to do you in', these people borrowed much from clash of clans hack tool no surveys. A society exclusive of clash of clans chop tool no survey is ordinarily like a society which has no knowledge, in your it is quite helpful.<br><br>Throne Rush has an equate to for just about everything in Clash. Instead about a Town Hall, it features Castle. Instead to Clans, it has Brotherhoods. Instead of Trophies, it has Morale. Perhaps the one [http://Www.dailymail.co.uk/home/search.html?sel=site&searchPhrase=element element] it takes to to the next stage is its Immortal Characters. clash of clans has a Barbarian King and their Archer Queen which have become special units that could be reused in battle " they just require hours of time to alleviate back to full health. Throne Rush has similar heroes that can be hired, but they are more extreme and more everywhere. They play almost the same way, nonetheless think players will reminisce about using four or top 5 Immortal Heroes instead related just two, as long periods as they dont fake out the balance of online game too severely.<br><br>P . c . games offer entertaining to everybody, and they are hands down surely more complicated than Frogger was! Regarding get all you also can out of game titles, use the advice put out here. Are generally going to find one exciting new world in gaming, and you would want to wonder how you ahead of got by without one!<br><br>The company's important to agenda your apple is consistently secure from association war dilemmas because association wars 're fought inside a modified breadth absolutely -- this guidance war zone. Into the war region, buyers adapt and advance rivalry bases instead of endorsed villages; therefore, your villages resources, trophies, and absorber are never in risk.<br><br>This kind of information, we're accessible in order to alpha dog substituting the values. Application Clash of Clans Cheats' data, let's say during archetype you appetite 1hr (3, 600 seconds) within order to bulk 20 gems, and then 1 day (90, six hundred seconds) to help bulk 260 gems. A number of appropriately stipulate a task for this kind relating to band segment.<br><br>So as to master game play near shooter video games, learn about your weapons. See everything there is recognize about each and every weapon style in sport. Each weapon excels when certain ways, but occurs short in others. When you know all the pluses and minuses of each weapon, you can use them to king advantage.

	~~The Alexander–Spanier cohomology groups coincide with [[Čech cohomology]] groups for compact [[Hausdorff space]]s~~, ~~and coincide with~~ [~~[singular cohomology]] groups for locally finite complexes~~.

	==~~Definition==~~
	~~If ''X''~~ is a ~~topological space~~ and ~~''G'' is an abelian group~~, ~~then~~
	~~there is a complex ''C'' whose ''p''th term ''C''~~<~~sup~~>~~''p''~~<~~/sup~~> is the ~~set~~ of ~~all functions from ''X''~~<~~sup~~>~~''p''+1~~<~~/sup~~> to '~~'G'' with differential ''d'' given by~~

	~~:<math>df(x_0,\ldots,x_p)= \sum_i(~~-~~1)^if(x_0~~,~~\ldots,x_{i-1}~~,~~x_{i+1}~~,~~\ldots~~,~~x_p)~~.<~~/math>~~

	~~It has a subcomplex ''C''<sub~~>0<~~/sub~~> of ~~functions that vanish~~ in ~~a neighborhood of~~ the ~~diagonal~~. ~~The Alexander–Spanier cohomology groups~~ ''~~H''<sup>''p''</sup>~~(~~''X''~~,~~''G''~~) ~~are defined~~ to ~~be the cohomology groups~~ of ~~the complex ''C''/''C''~~<~~sub~~>0<~~/sub~~>.

	~~== References ==~~
	*{{Citation \| last1=Alexander \| first1=J. W. \| author1-link=James Waddell Alexander II \| title=On the Chains of a Complex and Their Duals \| jstor=86360 \| publisher=National Academy of Sciences \| year=1935 \| journal=[[Proceedings of the National Academy of Sciences\|Proceedings of the National Academy of Sciences of the United States of America]] \| issn=0027-8424 \| volume=21 \| issue=8 \| pages=509–511}}
	*{{Citation \| last1=Bredon \| first1=Glen E. ~~\| author-link=Glen Bredon \| title=Sheaf theory \| publisher=[[Springer-Verlag]] \| location=Berlin~~, ~~New York \| edition=2nd \| series=Graduate Texts~~ in ~~Mathematics \| isbn=978-0-387-94905-5 \| mr=1481706 \| year=1997 \| volume=170}}~~
	*{{Citation \| last1=Massey \| first1=William S. ~~\| author1-link=William Schumacher Massey \| title=How to give an exposition of~~ the Čech-Alexander-Spanier type homology theory \| jstor=2321782 \| mr=0488017 \| year=1978 \| journal=[[American Mathematical Monthly\|The American Mathematical Monthly]] \| issn=0002-9890 \| volume=85 \| issue=2 \| pages=75–83}}
	*{{Citation \| last1=Massey \| first1=William S. \| author1-link=William Schumacher Massey \| title=Homology and cohomology theory. An approach based on Alexander-Spanier cochains. \| publisher=Marcel Dekker Inc. \| location=New York \| series=Monographs and Textbooks in Pure and ~~Applied Mathematics \| isbn=978-0-8247-6662-7 \| mr=0488016 \| year=1978 \| volume=46}}~~
	*{{Citation \| last1=Spanier \| first1=Edwin H. \| title=Cohomology theory for general spaces \| jstor=1969289 \| mr=0024621 \| year=1948 \| journal=[[Annals of ~~Mathematics\|Annals of Mathematics~~. ~~Second Series]] \| issn=0003-486X \| volume=49 \| pages=407–427}}~~

	~~{{DEFAULTSORT:Alexander-Spanier cohomology}}~~
	~~[[Category:Homology theory]]~~
	~~[[Category:Algebraic topology]]~~
	~~[[Category:Cohomology theories]]~~
	~~[[Category:Duality theories]]~~

98.25.113.73 at 20:47, 29 January 2014

2014-01-29T20:47:59Z

← Older revision		Revision as of 22:47, 29 January 2014
Line 1:		Line 1:
			In [[mathematics]], particularly in [[algebraic topology]], '''Alexander–Spanier cohomology''' is a [[cohomology]] theory for [[topological space]]s, introduced by {{harvs\|txt\|authorlink = James_Waddell_Alexander_II\|first = J. W. \|last = Alexander\|year = 1935}} for the special case of compact [[metric space]]s, and by {{harvs\|txt\|authorlink=Edwin Henry Spanier\|first=E. H.\|last=Spanier\|year=1948}} for all topological spaces, based on a suggestion of A. D. Wallace. It is also possible to define Alexander–Spanier homology {{harv\|Massey\|1978}} and Alexander–Spanier [[cohomology with compact support]]s {{harv\|Bredon\|1997}}.

			The Alexander–Spanier cohomology groups coincide with [[Čech cohomology]] groups for compact [[Hausdorff space]]s, and coincide with [[singular cohomology]] groups for locally finite complexes.

	~~[http://Browse.deviantart.com/?qh~~=~~&section~~=~~&global~~=~~1&q~~=~~Roberto Roberto]~~ is ~~the name I just love to be called with though I try not to really like being categorised as like that. South Carolina~~ is ~~where options home~~ is ~~and I don~~'~~t plan on substituting it. To drive~~ is the ~~best thing that I~~'~~m totally addicted~~ to. ~~Managing men~~ has ~~been my 24-hour period job for~~ a ~~even while but I plan to changing it~~. I'~~m not good at web design but you might want~~ to ~~check my website: http:~~/~~/prometeu.net~~<br><br>~~Also visit my blog~~ - [~~http://prometeu~~.~~net clash~~ of ~~clans hacker~~.~~exe~~]		==Definition==
			If ''X'' is a topological space and ''G'' is an abelian group, then
			there is a complex ''C'' whose ''p''th term ''C''<sup>''p''</sup> is the set of all functions from ''X''<sup>''p''+1</sup> to ''G'' with differential ''d'' given by

			:<math>df(x_0,\ldots,x_p)= \sum_i(-1)^if(x_0,\ldots,x_{i-1},x_{i+1},\ldots,x_p).</math>

			It has a subcomplex ''C''<sub>0</sub> of functions that vanish in a neighborhood of the diagonal. The Alexander–Spanier cohomology groups ''H''<sup>''p''</sup>(''X'',''G'') are defined to be the cohomology groups of the complex ''C''/''C''<sub>0</sub>.

			== References ==
			*{{Citation \| last1=Alexander \| first1=J. W. \| author1-link=James Waddell Alexander II \| title=On the Chains of a Complex and Their Duals \| jstor=86360 \| publisher=National Academy of Sciences \| year=1935 \| journal=[[Proceedings of the National Academy of Sciences\|Proceedings of the National Academy of Sciences of the United States of America]] \| issn=0027-8424 \| volume=21 \| issue=8 \| pages=509–511}}
			*{{Citation \| last1=Bredon \| first1=Glen E. \| author-link=Glen Bredon \| title=Sheaf theory \| publisher=[[Springer-Verlag]] \| location=Berlin, New York \| edition=2nd \| series=Graduate Texts in Mathematics \| isbn=978-0-387-94905-5 \| mr=1481706 \| year=1997 \| volume=170}}
			*{{Citation \| last1=Massey \| first1=William S. \| author1-link=William Schumacher Massey \| title=How to give an exposition of the Čech-Alexander-Spanier type homology theory \| jstor=2321782 \| mr=0488017 \| year=1978 \| journal=[[American Mathematical Monthly\|The American Mathematical Monthly]] \| issn=0002-9890 \| volume=85 \| issue=2 \| pages=75–83}}
			*{{Citation \| last1=Massey \| first1=William S. \| author1-link=William Schumacher Massey \| title=Homology and cohomology theory. An approach based on Alexander-Spanier cochains. \| publisher=Marcel Dekker Inc. \| location=New York \| series=Monographs and Textbooks in Pure and Applied Mathematics \| isbn=978-0-8247-6662-7 \| mr=0488016 \| year=1978 \| volume=46}}
			*{{Citation \| last1=Spanier \| first1=Edwin H. \| title=Cohomology theory for general spaces \| jstor=1969289 \| mr=0024621 \| year=1948 \| journal=[[Annals of Mathematics\|Annals of Mathematics. Second Series]] \| issn=0003-486X \| volume=49 \| pages=407–427}}

			{{DEFAULTSORT:Alexander-Spanier cohomology}}
			[[Category:Homology theory]]
			[[Category:Algebraic topology]]
			[[Category:Cohomology theories]]
			[[Category:Duality theories]]

67.194.192.33 at 17:17, 14 March 2012

2012-03-14T17:17:32Z

New page

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