Contractible 3-manifolds and the double 3-space propertyGarity, Dennis (Avtor) Repovš, Dušan (Avtor) Wright, David (Avtor) contractible 3-manifoldopen 3-manifoldWhitehead Linkdefining sequencegeometric indexMcMillan contractible 3-manifoldGabai LinkGabai 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.20182019-08-19 08:13:57Članek v reviji109014sl