WorldCat Identities

Gabai, David 1954-

Overview
Works: 14 works in 30 publications in 3 languages and 278 library holdings
Genres: Handbooks and manuals 
Roles: Author, Opponent, 958
Classifications: QA3, 510
Publication Timeline
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Most widely held works by David Gabai
Genera of the arborescent links by David Gabai( Book )

14 editions published in 1986 in English and held by 223 WorldCat member libraries worldwide

Foliations and the topology of 3-manifolds by David Gabai( Book )

2 editions published in 1985 in English and held by 3 WorldCat member libraries worldwide

On 3-manifolds finitely covered by surface bundles by David Gabai( Book )

1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide

The simple loop conjecture by David Gabai( Book )

1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide

ha-Maḥshev shebe-vetkha by David Gabai( Book )

1 edition published in 2005 in Hebrew and held by 2 WorldCat member libraries worldwide

General of the alternating links by David Gabai( Book )

1 edition published in 1985 in English and held by 1 WorldCat member library worldwide

Problème d'existence de feuilletage tendu dans les 3- variétés by Shanti Caillat-Gibert( )

1 edition published in 2011 in French and held by 1 WorldCat member library worldwide

Dans cette thèse, on étudie les C2-feuilletages de codimension 1, dans les 3-variétés compactes connexes et orientables. Il est bien connu que l'on peut construire explicitement sur de telles variétés un feuilletage qui possède des composantes de Reeb. Vient alors le problème crucial d'existence des feuilletages tendus (toujours ouvert).Rappelons qu'un feuilletage tendu n'admet pas de composante de Reeb, mais que la réciproque est fausse.La première partie de ce travail, consiste à comprendre la différence entre un feuilletage non-tendu sans composante de Reeb et un feuilletage tendu. On verra que l'orientation transverse des feuilles toriques joue un rôle crucial, en donnant une condition nécessaire et suffisante sur cette orientation transverse pour qu'un feuilletage soit tendu. Pour cela on étudiera de près les procédés géométriques de tourbillonement et de spiralement, et on montrera qu'ils apparaissent toujours au voisinage d'une feuille torique.La seconde partie de ce travail se concentre sur le problème d'existence de feuilletages tendu. Rappelons que depuis les travaux de D. Gabai [1983], on sait que si une 3-variété admet une homologie non-triviale, alors elle admet un feuilletage tendu. Mais le problème d'existence est toujours ouvert parmi les sphères d'homologies, et on s'intéresse ici à celles qui sont fibrées de Seifert. On montre que toutes les sphères d'homologie entière fibrées de Seifert sauf S3 et la sphère d'homologie de Poincaré admettent un feuilletage tendu. Par contre, parmi les sphères d'homologie rationnelle non-entière, fibrées de Seifert, il existe une infinité de telles variétés qui admettent un feuilletage tendu, et une infinité qui n'en admettent pas
The classification of maps of surfaces by David Gabai( Book )

1 edition published in 1985 in English and held by 1 WorldCat member library worldwide

Miḳbats meḥḳarim ḳliniyim( Book )

1 edition published in 2006 in Hebrew and held by 1 WorldCat member library worldwide

Group negative curvature for 3-manifolds with genuine laminations by David Gabai( )

1 edition published in 1998 in Undetermined and held by 1 WorldCat member library worldwide

We show that if a closed atoroidal 3-manifold M contains a genuine lamination, then it is group negatively curved in the sense of Gromov. Specifically, we exploit the structure of the non-product complementary regions of the genuine lamination and then apply the first author's Ubiquity Theorem to show that M satisfies a linear isoperimetric inequality
Homotopy hyperbolic 3-manifolds are hyperbolic by David Gabai( )

1 edition published in 2003 in Undetermined and held by 1 WorldCat member library worldwide

This paper introduces a rigorous computer-assisted procedure for analyzing hyperbolic 3-manifolds. This procedure is used to complete the proof of several long-standing rigidity conjectures in 3-manifold theory as well as to provide a new lower bound for the volume of a closed orientable hyperbolic 3-manifold
Foliations and genera of links by David Gabai( )

1 edition published in 1980 in English and held by 1 WorldCat member library worldwide

Detecting fibred links in S© by David Gabai( Book )

3 editions published in 1985 in English and held by 1 WorldCat member library worldwide

Memoirs of the American Mathematical Society( Book )

1 edition published in 1986 in English and held by 0 WorldCat member libraries worldwide

 
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Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.66 (from 0.56 for Homotopy h ... to 1.00 for Problème ...)

Alternative Names
David Gabai American mathematician

David Gabai Amerikaans wiskundige

David Gabai amerikansk matematikar

David Gabai amerikansk matematiker

David Gabai matemático estadounidense

David Gabai matematico statunitense

David Gabai mathématicien américain

David Gabai US-amerikanischer Mathematiker

Дэвид Габай

Languages
English (25)

Hebrew (2)

French (1)