Let Homeo(S) represent the full group of homeomorphisms of the unit circle S, and let A represent the set of subgroups of Homeo(S) satisfying the two properties that if G ∈ A then 1) G contains only orientationpreserving homeomorphisms of S and 2) G contains no non-abelian free subgroups. In this article we use classical results about homeomorphisms of the circle and elementary dynamical method...

We generalize the JSJ-splitting of Rips and Sela to give decompositions of nitely presented groups which capture splittings over certain classes of small subgroups. Such classes include the class of all 2-ended groups and the class of all virtually ZZ groups. The approach, called \track zipping", is relatively elementary, and diiers from the Rips-Sela approach in that it does not rely on the th...

We describe the subgroups of the group Zm × Zn × Zr and derive a simple formula for the total number s(m,n, r) of the subgroups, where m,n, r are arbitrary positive integers. An asymptotic formula for the function n 7→ s(n, n, n) is also deduced.

BACKGROUNDS Segmental and circumferential pulmonary vein isolations (SPVI and CPVI) have been demonstrated to be effective therapies for paroxysmal atrial fibrillation (PAF). PVI is well established as the endpoint of different ablation techniques, whereas it may not completely account for the long-term success. METHODS 181 drug-refractory symptomatic PAF patients were referred for segmental ...

background &objective: breast cancer is the most common female malignancy. detection of dna of human papillomaviruses (hpvs) in breast carcinomas suggests that the virus may play a role in the pathogenesis of this disease. the aim of this study was to evaluate the frequency of hpvs genotypes 6, 11, 16, 18 and 31 in paraffin-embedded tissue samples of invasive breast carcinomas. methods: thr...

Motivated by the recent study on categorical properties of latticevalued topology, the paper considers a generalization of the notion of topological system introduced by S. Vickers, providing an algebraic and a coalgebraic category of the new structures. As a result, the nature of the category   TopSys   of S. Vickers gets clari ed, and a metatheorem is stated, claiming that (latticevalu...

We prove the convex combination theorem for hyperbolic n-manifolds. Many applications are given both in high dimensions and in 3 dimensions. One consequence is that given two geometrically finite subgroups of a discrete group of isometries of hyperbolic n-space, satisfying a natural condition on their parabolic subgroups, there are finite index subgroups which generated a subgroup that is an am...

We prove that abelian subgroups of the outer automorphism group of a free group are quasiisometrically embedded. Our proof uses recent developments in the theory of train track maps by FeighnHandel. As an application, we prove the rank conjecture for Out(Fn).

We prove the convex combination theorem for hyperbolic n-manifolds. Applications are given both in high dimensions and in 3 dimensions. One consequence is that given two geometrically finite subgroups of a discrete group of isometries of hyperbolic nspace, satisfying a natural condition on their parabolic subgroups, there are finite index subgroups which generate a subgroup that is an amalgamat...

We prove the convex combination theorem for hyperbolic n-manifolds. Applications are given both in high dimensions and in 3 dimensions. One consequence is that given two geometrically finite subgroups of a discrete group of isometries of hyperbolic n-space, satisfying a natural condition on their parabolic subgroups, and whose intersection is a separable subgroup, there are finite index subgrou...