In this paper we study a homological version of the asymptotic filling invariant divk defined by Brady and Farb in [BrFa] and show that it is a quasi-isometry invariant for all proper cocompact Hadamard spaces, i.e. proper cocompact CAT(0)-spaces, and that it can furthermore be used to detect the Euclidean rank of such spaces. We thereby extend results of [BrFa, Leu, Hin] from the setting of sy...

Transl Androl Urol, Vol 3, Suppl 1 September 2014 www.amepc.org/tau © Translational Andrology and Urology. All rights reserved. effective promoter component can help us overcome these limitations. Methods: Here, we transfected the artificially hTERT promoter sequence into cancer cells and kept the specificity of the promoter. Then we used the Dual luciferase reporter gene system to prove the ar...

In this paper we show that many projective Anosov representations act convex cocompactly on some properly domain in real space. particular, if a non-elementary word hyperbolic group is not commensurable to non-trivial free product or the fundamental of closed surface, then any representation acts We also preserves domain, it (possibly different) domain. give three applications. First, into gene...

‎In this paper‎, ‎we define and study the notion of zero elements in topoframes; a topoframe is a pair‎ ‎$(L‎, ‎tau)$‎, ‎abbreviated $L_{ tau}$‎, ‎consisting of a frame $L$ and a‎ ‎subframe $ tau $ all of whose elements are complemented elements in‎ ‎$L$‎. ‎We show that‎ ‎the $f$-ring $ mathcal{R}(L_tau)$‎, ‎the set of $tau$-real continuous functions on $L$‎, ‎is uniformly complete‎. ‎Also‎, ‎t...

We give an upper bound for the number uΓ(n) of “overlattices” in the automorphism group of a tree, containing a fixed lattice Γ with index n. For an example of Γ in the automorphism group of a 2p-regular tree whose quotient is a loop, we obtain a lower bound of the asymptotic behavior as well. Nous donnons une borne supérieure pour le nombre uΓ(n) de “surréseaux” contenant un réseau fixé d’indi...

in this paper we study the module contractibility ofbanach algebras and characterize them in terms the conceptssplitting and admissibility of short exact sequences. also weinvestigate module contractibility of banach algebras with theconcept of the module diagonal.