Dennis Garity (Avtor), Dušan Repovš (Avtor), David Wright (Avtor)

Povzetek

Gabai showed that the Whitehead manifold is the union of two submanifolds each of which is homeomorphic to ▫$\mathbb{R}^3$▫ and whose intersection is again homeomorphic to ▫$\mathbb{R}^3$▫. Using a family of generalizations of the Whitehead Link, we show that there are uncountably many contractible 3-manifolds with this double 3-space property. Using a separate family of generalizations of the Whitehead Link and using an extension of interlacing theory, we also show that there are uncountably many contractible 3-manifolds that fail to have this property.

Ključne besede

contractible 3-manifold;open 3-manifold;Whitehead Link;defining sequence;geometric index;McMillan contractible 3-manifold;Gabai Link;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 515.124.5
COBISS: 18165593 Povezava se bo odprla v novem oknu
ISSN: 0002-9947
Št. ogledov: 461
Št. prenosov: 245
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Vrsta dela (COBISS): Članek v reviji
Komentar vira: Članek je bil izbran med dosežke Odlični v znanosti 2018 (http://www.arrs.si/sl/analize/publ/inc/19/ARRS-LP-18.pdf)
Strani: str. 2039-2055
Letnik: ǂVol. ǂ370
Zvezek: ǂno. ǂ3
Čas izdaje: March 2018
DOI: 10.1090/tran/7035
ID: 11204074