We prove that a k-dimensional hereditarily indecomposable metrisable continuum is not a Pk-valued absolute retract. We deduce from this that none of the classical characterizations of ANR (metric) extends to the class of stratifiable spaces.

Can we do arithmetic in a completely different way, with a radically different data structure? Could this approach provide practical benefits, like operations on giant numbers while having an average performance similar to traditional bitstring representations? Our Hereditarily binary numbers introduced in this paper provide compact tree-representations of the largest known prime number and its...

Background: Lumbar puncture (LP) is a worth procedure in diagnosis of oncological diseases and intrathecal administration of antineoplastic drugs. The effort should be to minimize pain of LP in children with cancers. This clinical trial was done to compare success rates in performing LP and reducing anxiety and pain of LP in sitting and lateral decubitus positions in 1 to 5-year-old children. ...

We prove that the first reduced cohomology with values in a mixing Lp-representation, 1 < p < ∞, vanishes for a class of amenable groups including amenable Lie groups. In particular this solves for this class of amenable groups a conjecture of Gromov saying that every finitely generated amenable group has no first reduced lp-cohomology. As a byproduct, we prove a conjecture by Pansu. Namely, th...

The aim of this paper is to introduce the notions hereditarily disconnected and totally objects in a topological category examine relationship as well interrelationships between them. Moreover, we characterize each $T_{2}$, connected, disconnected, some categories compare our results with ones spaces.

In this paper we study some of the arithmetic structure that is found in a special kind of semi-ring in the isols. These are the semi-rings [D(Y ),+, ·] that were introduced by J.C.E. Dekker, and that were later shown by E. Ellentuck to model the true universal recursive statements of arithmetic when Y is a regressive isol and is hyper-torre (= hereditarily odd-even = HOE). When Y is regressive...

We show that a function field in one variable of genus zero has pythagoras number two if and only if either the base field is hereditarily pythagorean and, in case the function field is nonreal, uniquely ordered, or −1 is a square in the base field. We generalize one implication to function fields of Cassels-Catalan curves.

background and aims. lichen planus (lp) is a relatively common, chronic dermato-mucosal disease that often affects the oral mucosa. among bacterial infections affecting lp, helicobacter pylori has recently been proposed as an important etiologic factor. the present study was designed to evaluate the association of lp and h. pylori infection. materials and methods. this study included 30 patient...