20.500.12556/RUL-109014 Contractible 3-manifolds and the double 3-space property 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. contractible 3-manifold open 3-manifold Whitehead Link defining sequence geometric index McMillan contractible 3-manifold Gabai Link true false true Angleški jezik Ni določen Članek v reviji 2019-08-19 08:13:57 2019-08-19 08:13:58 2022-08-21 03:39:22 0000-00-00 00:00:00 2018 0 0 Članek je bil izbran med dosežke Odlični v znanosti 2018 (http://www.arrs.si/sl/analize/publ/inc/19/ARRS-LP-18.pdf) Str. 2039-2055 no. 3 Vol. 370 March 2018 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 515.124.5 0002-9947 10.1090/tran/7035 18165593 435213 RAZ_Garity_Dennis_i2018.pdf RAZ_Garity_Dennis_i2018.pdf 1 EC87E350EB74B3578D090B08A2867566 0c68b80a777d576efbd7f630010ecf1a1a182a5a52efa168de8895ad4cfdf657 cae0729b-a1b6-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=120635 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0