Diagram rigidity for geometric amalgamations of free groups

In this paper, we show that a class of 2-dimensional locally CAT(-1) spaces is topologically rigid: isomorphism of the fundamental groups is equivalent to the spaces being homeomorphic. An immediate application of this result is a diagram rigidity theorem for certain amalgamations of free groups. The direct limits of two such amalgamations are isomorphic if and only if there is an isomorphism between the respective diagrams.     

Measurement of X-ray production cross-sections of Ti,V, Cr,Mn, Fe,Co, Ni and Cu molecules

K shell X-ray production cross-sections in the Ti, V, Cr, Mn, Fe, Co, Ni, and Cu in the molecules were studied at 59.5 keV excitation energy by using a Si(Li) detector ( FWHM = 155 eV at 5.96 keV). The present results are compared with other theoretical values.     

AeDEn: An adaptive framework for dynamic distribution over mobile environments

Mobile computing is a domain in great expansion. Wireless networks (gsm, satellite, etc) and Portable Information Appliances pias (laptops, PDAs, cellular phones, etc) are developing very rapidly. More and more mobile users would like to execute their applications with the same quality of service as on their desktop station, whatever their needs in memory and computing power. Using such applications in a mobile environment raises new challenges. Some of these applications are extremely costly in system and network resources, whereas pias resources are poor and wireless networks offer a very variable quality of connection. In this paper we propose an adaptive and dynamic distribution of applications on the local environment to overcome the poorness of available resources on pias, and to reduce and regulate variability effects. Moreover, due to the variety of distribution policies, we propose a framework providing adaptive distribution policies.     

Decomposition of infinite eulerian graphs with a small number of vertices of infinite degree

We consider the question whether an infinite eulerian graph has a decomposition into circuits and rays if the graph has only finitely many, say n, vertices of infinite degree, and only finitely many finite components after the removal of the vertices of infinite degree. It is known that the answer is affirmative for n2 and negative for n4. We settle the remaining case n=3, showing that a decomposition into circuits and rays also exists in this case.     

Engouffrement symplectique et intersections lagrangiennes

Let }L _t{,t ∈ [0, 1], be a path of exact Lagrangian submanifolds in an exact symplectic manifold that is convex at infinity and of dimension ≥6. Under some homotopy conditions, an engulfing problem is solved: the given path }L _t{ is conjugate to a path of exact submanifolds inT ^*L_o. This impliesL _t must intersectL _o at as many points as known by the generating function theory. Our Engulfing theorem depends deeply on a new flexibility property of symplectic structures which is stated in the first part of this work.

     

Axioms for Sequential Convergence

It is of general knowledge that those (ultra)filter convergence relations coming from a topology can be characterized by two natural axioms. However, the situation changes considerable when moving to sequential spaces. In case of unique limit points Kisyński (Colloq Math 7:205–211, 1959/1960) obtained a result for sequential convergence similar to the one for ultrafilters, but the general case seems more difficult to deal with. Finally, the problem was solved by Koutnik (Closure and topological sequential convergence. In: Convergence Structures 1984 (Bechyně, 1984). Math. Res., vol. 24, pp. 199–204. Akademie-Verlag, Berlin, 1985). In this paper we present an alternative approach to this problem. Our goal is to find a characterization more closely related to the case of ultrafilter convergence. We extend then the result to characterize sequential convergence relations corresponding to Fréchet topologies, as well to those corresponding to pretopological spaces.      

Synthesis and metallation of 2-(pyridyl)benzoic acids and ethyl 2-(pyridyl)benzoates: a new route to azafluorenones

The ring deprotonation of 2-(2- and 4-pyridyl)benzoic acids using lithium dialkylamides in THF at rt, and the in situ cyclization afforded 4- and 2-azafluorenones, respectively. 1-Azafluorenone was obtained from ethyl 2-(3-pyridyl)benzoate using a similar protocol.