منابع مشابه
Limits Of Incompressible Surfaces
One can embed arbitrarily many disjoint, non-parallel, non-boundary parallel, incompressible surfaces in any three manifold with at least one boundary component of genus two or greater [4]. This paper proves the contrasting, but not contradictory result that although one can sometimes embed arbitrarily many surfaces in a 3-manifold it is impossible to ever embed an infinite number of such surfa...
متن کاملSpaces of Incompressible Surfaces
The homotopy type of the space of PL homeomorphisms of a Haken 3 manifold was computed in [H1], and with the subsequent proof of the Smale conjecture in [H2], the computation carried over to diffeomorphisms as well. These results were also obtained independently by Ivanov [I1,I2]. The main step in the calculation in [H1], though not explicitly stated in these terms, was to show that the space o...
متن کاملGenerating disjoint incompressible surfaces
Article history: Received 1 February 2008 Accepted 6 November 2010
متن کاملBoundary Curves of Incompressible Surfaces
Let M be an compact orientable 3 manifold whose boundary ∂M consists of a single torus. If a meridian and longitude in this torus are chosen, then isotopy classes of smoothly embedded circles in ∂M that do not bound disks correspond bijectively with elements of QP = Q ∪ {1/0} , regarded as slopes of these curves. We show in this paper that the set of slopes coming from boundary curves of incomp...
متن کاملInviscid incompressible limits of strongly stratified fluids
We consider the motion of a compressible viscous fluid in the asymptotic regime of low Mach and high Reynolds numbers under strong stratification imposed by a conservative external force. Assuming a bi-dimensional character of the flow, we identify the limit system represented by the so-called lake equation the Euler system supplemented by an anelastic type constraint imposed by the limit densi...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1999
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(98)00083-2