Information-based complexity - Revision history

en>AnomieBOT: Dating maintenance tags: {{No footnotes}}

2014-10-08T21:40:29Z

Dating maintenance tags: {{No footnotes}}

← Older revision		Revision as of 23:40, 8 October 2014
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	A [~~[geodesic~~]~~] [[metric space]] <math>X</math>~~ is ~~called~~ '~~''''tree-graded space''''', with respect to a collection of connected proper subsets called ''pieces'', if any two distinct pieces~~ [~~[Intersection (set theory)\|intersect]] by at most one point, and every non-trivial simple geodesic [[triangle]] of <math>X<~~/~~math> is contained in one of the pieces~~.		Hello. Let me over the counter std [http://En.Wikibooks.org/wiki/Cell_Biology/Cell_types/Bacteria test introduce] the writer. Her title is Emilia Shroyer but it's not [http://www.pinaydiaries.com/blog/104745 over the counter std test] the most feminine title out there. To perform baseball is the pastime he at home std test will by no means quit performing. South Dakota is her beginning location but she needs to transfer because of her family. Bookkeeping is her working [http://Www.myelectronicmd.com/get_reference.php?Id=1296&condition=ANAL%20HERPES%20SIMPLEX%20VIRUS&symname=A&typ=3 day occupation] now.<br><br>Feel free to surf to my page; std testing at [http://www.breda.nl/users/noeliadfebdftijfsdnt home std test kit] ([http://cs.sch.ac.kr/xe/index.php?document_srl=1203900&mid=Game13 visit this backlink])

	~~Thus, for pieces of bounded [[diameter]], tree-graded spaces behave like [[real tree]]s in their [[Quasi-isometry\|coarse geometry]] (in~~ the ~~sense of [[Mikhail Leonidovich Gromov\|Gromov~~]~~]) while allowing non-tree-like behavior within~~ the ~~pieces~~.

	~~Tree-graded spaces were introduced~~ by ~~{{harvtxt\|Druţu\|Sapir\|2005}} in their study~~ of ~~the~~ [~~[Ultralimit#Asymptotic cones\|asymptotic cones]] of [[hyperbolic group]]s~~.

	==~~References~~==
	*{{citation
	~~\| last1 = Druţu \| first1 = Cornelia \| author1-link = Cornelia Druţu~~
	~~\| last2 = Sapir \| first2 = Mark~~
	~~\| doi = 10~~.~~1016~~/j.~~top~~.~~2005~~.03.~~003~~
	~~\| issue~~ = 5
	~~\| journal~~ = ~~Topology~~
	~~\| mr = 2153979~~
	~~\| pages = 959–1058~~
	~~\| title = Tree-graded spaces and asymptotic cones of groups~~
	~~\| volume = 44~~
	~~\| year = 2005}}.~~

	~~{{DEFAULTSORT:Tree-Graded Space}}~~
	~~[[Category:Metric geometry~~]]
	~~[[Category:Trees (topology~~)]]


	~~{{Geometry-stub}}~~

en>GeorgeLouis: Needs refs.

2013-04-13T01:07:16Z

Needs refs.

← Older revision		Revision as of 03:07, 13 April 2013
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	~~Hi there. Allow me start by introducing the writer, her title~~ is ~~Sophia. Invoicing is what I do for a residing but I~~'~~ve always wanted my personal business. Mississippi is [https://www.machlitim.org.il/subdomain/megila/end/node/12300 free psychic reading] the only location I~~'~~ve been residing in but I will have~~ to ~~transfer in~~ a ~~yr or~~ two~~. She is really fond~~ of ~~caving but she doesn't have the time recently.~~<br><br>~~Feel free to surf to my blog :: phone~~ [~~http://alles~~-~~herunterladen.de/excellent~~-~~advice~~-~~for~~-~~picking~~-the~~-ideal-hobby/ online psychic chat~~] ~~readings (~~[~~http:~~/~~/www~~.~~zavodpm~~.~~ru/blogs/glennmusserrvji/14565~~-~~great~~-~~hobby-advice-assist-allow-you-get-going www.zavodpm.ru~~])		A [[geodesic]] [[metric space]] <math>X</math> is called '''''tree-graded space''''', with respect to a collection of connected proper subsets called ''pieces'', if any two distinct pieces [[Intersection (set theory)\|intersect]] by at most one point, and every non-trivial simple geodesic [[triangle]] of <math>X</math> is contained in one of the pieces.

			Thus, for pieces of bounded [[diameter]], tree-graded spaces behave like [[real tree]]s in their [[Quasi-isometry\|coarse geometry]] (in the sense of [[Mikhail Leonidovich Gromov\|Gromov]]) while allowing non-tree-like behavior within the pieces.

			Tree-graded spaces were introduced by {{harvtxt\|Druţu\|Sapir\|2005}} in their study of the [[Ultralimit#Asymptotic cones\|asymptotic cones]] of [[hyperbolic group]]s.

			==References==
			*{{citation
			\| last1 = Druţu \| first1 = Cornelia \| author1-link = Cornelia Druţu
			\| last2 = Sapir \| first2 = Mark
			\| doi = 10.1016/j.top.2005.03.003
			\| issue = 5
			\| journal = Topology
			\| mr = 2153979
			\| pages = 959–1058
			\| title = Tree-graded spaces and asymptotic cones of groups
			\| volume = 44
			\| year = 2005}}.

			{{DEFAULTSORT:Tree-Graded Space}}
			[[Category:Metric geometry]]
			[[Category:Trees (topology)]]


			{{Geometry-stub}}

en>The Anome: '''Information-based complexity''' ('''IBC''')

2012-08-04T11:03:50Z

'''Information-based complexity''' ('''IBC''')

New page

Hi there. Allow me start by introducing the writer, her title is Sophia. Invoicing is what I do for a residing but I've always wanted my personal business. Mississippi is [https://www.machlitim.org.il/subdomain/megila/end/node/12300 free psychic reading] the only location I've been residing in but I will have to transfer in a yr or two. She is really fond of caving but she doesn't have the time recently.<br><br>Feel free to surf to my blog :: phone [http://alles-herunterladen.de/excellent-advice-for-picking-the-ideal-hobby/ online psychic chat] readings ([http://www.zavodpm.ru/blogs/glennmusserrvji/14565-great-hobby-advice-assist-allow-you-get-going www.zavodpm.ru])

← Older revision		Revision as of 23:40, 8 October 2014
Line 1:		Line 1:
	A [~~[geodesic~~]~~] [[metric space]] <math>X</math>~~ is ~~called~~ '~~''''tree-graded space''''', with respect to a collection of connected proper subsets called ''pieces'', if any two distinct pieces~~ [~~[Intersection (set theory)\|intersect]] by at most one point, and every non-trivial simple geodesic [[triangle]] of <math>X<~~/~~math> is contained in one of the pieces~~.		Hello. Let me over the counter std [http://En.Wikibooks.org/wiki/Cell_Biology/Cell_types/Bacteria test introduce] the writer. Her title is Emilia Shroyer but it's not [http://www.pinaydiaries.com/blog/104745 over the counter std test] the most feminine title out there. To perform baseball is the pastime he at home std test will by no means quit performing. South Dakota is her beginning location but she needs to transfer because of her family. Bookkeeping is her working [http://Www.myelectronicmd.com/get_reference.php?Id=1296&condition=ANAL%20HERPES%20SIMPLEX%20VIRUS&symname=A&typ=3 day occupation] now.<br><br>Feel free to surf to my page; std testing at [http://www.breda.nl/users/noeliadfebdftijfsdnt home std test kit] ([http://cs.sch.ac.kr/xe/index.php?document_srl=1203900&mid=Game13 visit this backlink])

	~~Thus, for pieces of bounded [[diameter]], tree-graded spaces behave like [[real tree]]s in their [[Quasi-isometry\|coarse geometry]] (in~~ the ~~sense of [[Mikhail Leonidovich Gromov\|Gromov~~]~~]) while allowing non-tree-like behavior within~~ the ~~pieces~~.

	~~Tree-graded spaces were introduced~~ by ~~{{harvtxt\|Druţu\|Sapir\|2005}} in their study~~ of ~~the~~ [~~[Ultralimit#Asymptotic cones\|asymptotic cones]] of [[hyperbolic group]]s~~.

	==~~References~~==
	*{{citation
	~~\| last1 = Druţu \| first1 = Cornelia \| author1-link = Cornelia Druţu~~
	~~\| last2 = Sapir \| first2 = Mark~~
	~~\| doi = 10~~.~~1016~~/j.~~top~~.~~2005~~.03.~~003~~
	~~\| issue~~ = 5
	~~\| journal~~ = ~~Topology~~
	~~\| mr = 2153979~~
	~~\| pages = 959–1058~~
	~~\| title = Tree-graded spaces and asymptotic cones of groups~~
	~~\| volume = 44~~
	~~\| year = 2005}}.~~

	~~{{DEFAULTSORT:Tree-Graded Space}}~~
	~~[[Category:Metric geometry~~]]
	~~[[Category:Trees (topology~~)]]


	~~{{Geometry-stub}}~~