We are here interested in arguments in [5], where the notion of â€œshrinkwrapping" was introduced. Shrinkwrappings play an important role in their proof. For the proof of the existence ofâ€¦ (More)

In this paper, first we consider whether the fundamental groups of certain geometric 3-manifolds have FGIP or not. Next we give the sufficient conditions that FGIP for 3-manifold groups is preservedâ€¦ (More)

In this paper, we study a two-parameter family {Ï•Âµ,Î½ } of two-dimensional diffeomorphisms such that Ï• 0,0 = Ï• has a cubic homoclinic tan-gency unfolding generically which is associated with aâ€¦ (More)

In this paper, we will determine the topological types of hyper-bolic 3-manifolds H 3 /G such that G is a geometric limit of any algebraically convergent sequence of quasi-Fuchsian groups.

Background
A do-not-resuscitate (DNR) order is reportedly associated with a decrease in performance measures, but it should not be applied to noncardiopulmonary resuscitation procedures. Goodâ€¦ (More)

We provide a deterministic polynomial time algorithm for multicasting in a linear deterministic relay network and a wireless communication framework proposed by Avestimehr et al. The running time ofâ€¦ (More)

We will present a new proof of the rigidity theorem for Seifert fibered spaces of infinite Ï€1 by Scott (1983) in the case when the base of the fibration is a hyperbolic triangle 2-orbifold. Our proofâ€¦ (More)