About: Dimension gaps between representability and collapsibility

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	A simplicial complex K is called d-representable if it is the nerve of a collection of convex sets in R^d; K is d-collapsible if it can be reduced to an empty complex by repeatedly removing a face of dimension at most d - 1 that is contained in a unique maximal face; and K is d-Leray if every induced subcomplex of K has vanishing homology of dimension d and larger. It is known that d-representable implies d-collapsible implies d-Leray, and no two of these notions coincide for d }= 2. The famous Helly theorem and other important results in discrete geometry can be regarded as results about d-representable complexes, and in many of these results, 'd-representable' in the assumption can be replaced by 'd-collapsible' or even 'd-Leray.' Zbytek anotace chybí kvůli limitu počtu znaků. A simplicial complex K is called d-representable if it is the nerve of a collection of convex sets in R^d; K is d-collapsible if it can be reduced to an empty complex by repeatedly removing a face of dimension at most d - 1 that is contained in a unique maximal face; and K is d-Leray if every induced subcomplex of K has vanishing homology of dimension d and larger. It is known that d-representable implies d-collapsible implies d-Leray, and no two of these notions coincide for d }= 2. The famous Helly theorem and other important results in discrete geometry can be regarded as results about d-representable complexes, and in many of these results, 'd-representable' in the assumption can be replaced by 'd-collapsible' or even 'd-Leray.' Zbytek anotace chybí kvůli limitu počtu znaků. (en)
Title	Dimension gaps between representability and collapsibility Dimension gaps between representability and collapsibility (en)
skos:prefLabel	Dimension gaps between representability and collapsibility Dimension gaps between representability and collapsibility (en)
skos:notation	RIV/00216208:11320/09:00207115!RIV10-MSM-11320___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1M0545), Z(MSM0021620838)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Matoušek, Jiří Tancer, Martin
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	310609
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/09:00207115
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Dimension; between; representability; collapsibility (en)
http://linked.open.../riv/klicoveSlovo	Dimension between collapsibility representability
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[7C340E36C7BC]
http://linked.open...i/riv/nazevZdroje	Discrete and Computational Geometry
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Institute for Theoretical Computer Science
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	42
http://linked.open...iv/tvurceVysledku	Matoušek, Jiří Tancer, Martin
http://linked.open...ain/vavai/riv/wos	000271198900008
http://linked.open...n/vavai/riv/zamer	Moderní metody, struktury a systémy informatiky
issn	0179-5376
number of pages	9 (xsd:int)
http://localhost/t...ganizacniJednotka	11320

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