This paper presents the deenition and solution to the uniform reliable multicast problem in the virtually synchronous environment deened by the Isis system. A uniform reliable multicast of a message m has the property that if m has been received by any destination process (faulty or not), then m is received by all processes that reach a decision. Uniform reliable mul-ticast provides a solution ...

In this article, we study the notion of virtually repelling fixed point. We first give a definition and an interpretation of it. We then prove that most proper holomorphic mappings f : U → V with U contained in V have at least one virtually repelling fixed point. 1. Preliminaries Let f : (C, α) → (C, α) be a holomorphic germ fixing α. Definition 1. The multiplicity m of α as a fixed point of f ...

We show that for certain hyperbolic manifolds all boundary slopes are slopes of π1-injective immersed surfaces, covered by incompressible embeddings in some finite cover. The manifolds include hyperbolic punctured torus bundles and hyperbolic two-bridge knots.

We prove that all generalized Montesinos links in S which are not classic S̃L2 -type are virtually fibred except the trivial link of two components. We also prove the virtually fibred property for a family of infinitely many classic Montesinos links of type S̃L2 . As a byproduct we find the first family of infinitely many virtually fibred hyperbolic rational homology 3-spheres.