Uniqueness of minimisers for a Grötzsch-Belinskiĭ type inequality in the Heisenberg group

The modulus method introduced by H. Grötzsch yields bounds for a mean distortion functional of quasiconformal maps between two annuli mapping the respective boundary components onto each other. P. P. Belinskiĭ studied these inequalities in the plane and identified the family of all minimisers. Beyond the Euclidean framework, a Grötzsch-Belinskiĭ-type inequality has been previously considered for quasiconformal maps between annuli in the Heisenberg group whose boundaries are Korányi spheres. In this note we show that--in contrast to the planar situation--the minimiser in this setting is essentially unique.

Lipschitz extensions of maps between Heisenberg groups

Let $\H^n$ be the Heisenberg group of topological dimension 2n+1 . We prove that if n is odd, the pair of metric spaces $(\H^n, \H^n)$ does not have the Lipschitz extension property.

Effect of Decompressive Craniectomy on Perihematomal Edema in Patients with Intracerebral Hemorrhage.

BACKGROUND Perihematomal edema contributes to secondary brain injury in the course of intracerebral hemorrhage. The effect of decompressive surgery on perihematomal edema after intracerebral hemorrhage is unknown. This study analyzed the course of PHE in patients who were or were not treated with decompressive craniectomy. METHODS More than 100 computed tomography images from our published cohort of 25 patients were evaluated retrospectively at two university hospitals in Switzerland. Computed tomography scans covered the time from admission until day 100. Eleven patients were treated by decompressive craniectomy and 14 were treated conservatively. Absolute edema and hematoma volumes were assessed using 3-dimensional volumetric measurements. Relative edema volumes were calculated based on maximal hematoma volume. RESULTS Absolute perihematomal edema increased from 42.9 ml to 125.6 ml (192.8%) after 21 days in the decompressive craniectomy group, versus 50.4 ml to 67.2 ml (33.3%) in the control group (Δ at day 21 = 58.4 ml, p = 0.031). Peak edema developed on days 25 and 35 in patients with decompressive craniectomy and controls respectively, and it took about 60 days for the edema to decline to baseline in both groups. Eight patients (73%) in the decompressive craniectomy group and 6 patients (43%) in the control group had a good outcome (modified Rankin Scale score 0 to 4) at 6 months (P = 0.23). CONCLUSIONS Decompressive craniectomy is associated with a significant increase in perihematomal edema compared to patients who have been treated conservatively. Perihematomal edema itself lasts about 60 days if it is not treated, but decompressive craniectomy ameliorates the mass effect exerted by the intracerebral hemorrhage plus the perihematomal edema, as reflected by the reduced midline shift.

Karl Emil Franzos [Rezension]

A. L.

Wirksamkeit der umfassenden kardiologischen Rehabilitation und Sekundärprävention: klinische und epidemiologische Evidenz

Zusammenfassung Die umfassende kardiologische Rehabilitation ist die Summe von koordinierten Maßnahmen, welche die Folgen von Herzerkrankungen vermindern, die Morbidität und Mortalität reduzieren und die gesundheitsbezogene Lebensqualität einschließlich der psychosozialen Situation der Patienten verbessern sollen. Dazu ist die Bereitstellung strukturierter sekundärpräventiver Strategien besonders wichtig. Schwerpunkte dieser Maßnahmen sind die Trainingstherapie und Aktivitätsberatung sowie Ernährungstherapie und -beratung, Raucherentwöhnung, psychosoziale Intervention und Pharmakotherapie (Ades 2001).

Karl Schurz über Juden und Judentum

Victor Nordheimer

Werner Sombart: Die Zukunft der Juden [Rezension]

Alfred Goldschmidt

Zum Andenken an Coßmann Werner

Ludwig Holländer

Karl Marx [Illustration] : (Porträt)

Scan von Monochrom-Mikroform

Porträt Prof. Werner Sombart [Illustration]

Alfred Graetzer