Extended explanation of Orevkov's paper on proper holomorphic embeddings of complements of Cantor sets in C2\Bbb C^2 and a discussion of their measure

We clarify the details of a cryptical paper by Orevkov in which a construction of a proper holomorphic embedding $\gamma\colon\Bbb P^1\setminus{C}\hookrightarrow\Bbb C^2$ is performed; in particular, it is proved that such a construction can be done to get the Cantor set $C$ to have zero Hausdorff dimension

Approximation and accumulation results of holomorphic mappings with dense image

We display four approximation theorems for manifold-valued mappings. The first one approximates holomorphic embeddings on pseudoconvex domains in $\Bbb C^n$ with holomorphic embeddings with dense images. The second theorem approximates holomorphic mappings on complex manifolds with bounded images with holomorphic mappings with dense images. The last two theorems work the other way around, constructing (in different settings) sequences of holomorphic mappings (embeddings in the first one) converging to a mapping with dense image defined on a given compact minus certain points (thus in general not holomorphic)

Proper Holomorphic Embeddings of complements of large Cantor sets in C2\Bbb C^2

We present a construction of a proper holomorphic embedding $f\colon \Bbb P^1\setminus C\hookrightarrow \Bbb C^2$, where C is a Cantor set obtained by removing smaller and smaller vertical and horizontal strips from a square of side 2, allowing to realize it to have Lebesgue measure arbitrarily close to 4

Long-term evaluation of patient satisfaction and quality of life in pectus excavatum repair

Abstract Background: The aim of our study was to evaluate long-term patient satisfaction and quality-of-life improvement in grown-up patients treated for pectus excavatum with the Nuss procedure in the pediatric age, searching for correlation between preoperative characteristics and long-term outcomes. Methods: At first, we performed a retrospective analysis of pediatric patients undergoing the Nuss procedure in a 5-year period. We administered, at least 5 years after bar removal, a single-step questionnaire to focus on the assessment of patient satisfaction with operative results. Results: Most patients stated general health and exercise tolerance were improved after the operation. High levels of overall satisfaction were reported after Nuss repair, with 95.6% of patients being either satisfied or very satisfied. Overall, 87.0% of patients stated they would have the operation again. The high overall satisfaction after surgery was not correlated with the deformity severity and the presence of physical symptoms before correction. Conclusions: Patients expressed high levels of satisfaction in terms of self-image and quality of life. Improvement in cosmetic appearance and health in general translated in most patients in an improvement of social life. The degree of postoperative pain after the Nuss procedure is the overriding factor in the patient’s perception of the quality of the postoperative course

Families of Proper Holomorphic Embeddings and Carleman-type Theorems with parameters

We solve the problem of simultaneously embedding properly holomorphically into $\Bbb C^2$ a whole family of $n$-connected domains $\Omega_r\subset\Bbb P^1$ such that none of the components of $\Bbb P^1\setminus\Omega_r$ reduces to a point, by constructing a continuous mapping $\Xi\colon\bigcup_r\{r\}\times\Omega_r\to\Bbb C^2$ such that $\Xi(r,\cdot)\colon\Omega_r\hookrightarrow\Bbb C^2$ is a proper holomorphic embedding for every $r$. To this aim, a parametric version of both the Anders\'en-Lempert procedure and Carleman's Theorem is formulated and proved

Families of Proper Holomorphic Embeddings and Carleman-Type Theorem with parameters

We solve the problem of simultaneously embedding properly holomorphically into C2 a whole family of n-connected domains Omega_r in P1 such that none of the components of P1 \ Omega_r reduces to a point, by constructing a continuous mapping such that is a proper holomorphic embedding for every r. To this aim, a parametric version of both the Andersén–Lempert procedure and Carleman’s Theorem is formulated and proved.publishedVersio

Intorno al terriccio sul telo sindonico

In this article we re-examine the presence of loam on the Shroud considering it as a new image. It is constituted, mainly, from calcium carbonate crystallized in rhombic form (aragonite), and it is formed by a cloth-body contact mechanism. This result supports the Middle Eastern origin of the Turin Linen and strengthens the hypothesis that itself wrapped a wounded human body

Le opportunità per una rivoluzione urbana. Il caso delle capitali europee della cultura.

L'articolo si propone di fornire una breve panoramica sulle questioni di pianificazione urbanistica delle Capitali europee della cultura, con una particolare enfasi sulla organizzazione della città di Matera

Peritoneal dialysis catheters in pediatric patients: 10 years of experience in a single centre

Peritoneal Dialysis (PD) is one of the numerous options for chronic dialysis and in many cases when access for acute dialysis is required early in a hospital course, at any age. PD catheter can be inserted with an open or laparoscopic approach. The complication rate after catheter insertion is still high, as reported in published literature. We present the experience matured at our Centre in the last 10 years on implantation of peritoneal dialysis catheters in children, emphasising surgical complications. We conducted a retrospective study on patients who underwent PD at our Centre in a range period of 10 years. We analysed patients \u2019demographic data, past and present medical, perioperative and post-operative data, permanence of the catheter, duration of dialysis, the gap between placement and use, outcomes and complications. We compared the data, dividing patients in 2 groups: patients operated with a traditional open technique and patients operated laparoscopically. We retrospectively reviewed 29 children with an average age of 3years and 6 months. Mean age was 42 months (1 month; 8 years) for the VLS group, 18 months (11 days, 4 years) for the OT group. Mean operative time was 106 min for the VLS group; 44 min for the OT group. The Catheter permanence period was 17 days (12h-64 days). Duration of dialysis was between 48 hours and 23 days (average 8 days). In the total population, we registered 8 complications (5 minor, 3 major), the overall complication rate being 33 % (minor complication rate 21%, major complication rate 12,5 %). 6 complications occurred in patients operated laparoscopically (6/14 = 36 %); 2 complications in the OT group (2/10 = 20 %). The complication rate after PD catheter insertion is still high. Advantages and disadvantages of the open and laparoscopic approach must be known. Both minor and major complications, such as bowel perforations and occlusions, must be understood and differentiated