Search results for "L10"

Geometry and quasisymmetric parametrization of Semmes spaces

2011

We consider decomposition spaces R 3 /G that are manifold factors and admit defining sequences consisting of cubes-with-handles of finite type. Metrics on R 3 /G constructed via modular embeddings of R 3 /G into a Euclidean space promote the controlled topology to a controlled geometry. The quasisymmetric parametrizability of the metric space R 3 /G×R m by R 3+m for any m ≥ 0 imposes quantitative topological constraints, in terms of the circulation and the growth of the cubes-with-handles, on the defining sequences for R 3 /G. We give a necessary condition and a sufficient condition for the existence of such a parametrization. The necessary condition answers negatively a question of Heinone…

Quasiconformal geometry and removable sets for conformal mappings

2020

We study metric spaces defined via a conformal weight, or more generally a measurable Finsler structure, on a domain $\Omega \subset \mathbb{R}^2$ that vanishes on a compact set $E \subset \Omega$ and satisfies mild assumptions. Our main question is to determine when such a space is quasiconformally equivalent to a planar domain. We give a characterization in terms of the notion of planar sets that are removable for conformal mappings. We also study the question of when a quasiconformal mapping can be factored as a 1-quasiconformal mapping precomposed with a bi-Lipschitz map.

Role of gene polymorphisms IL 10 (-1082 G/A) and TNFa (-308G/A) in susceptibility to acute myocardial infarction in young man.

2011

Job Creation in Spain: Productivity Growth, Labour Market Reforms or both?

2010

The benefits implied by changing the growth model are at the heart ofthe heated political and economic debate in Spain. Increases in productivity and the reallocation of employment towards more innovative sectors are defended as the panacea for most of the ills afflicting the Spanish economy. In this paper we use a DSGE model with price rigidities, and labour market search frictions a la Mortensen-issarides, to assess the effects of the change in the growth model onunemployment. In so doing, we assume that the vigorous demand shock which has been mostly responsible for recent economic growth in Spain will be successfully substituted by a productivity shock as the main driver of Spain‘s…

STRATEGIC ROLE OF ACTIVITY IN THE EFFECTIVE MANAGEMENT OF A COMPANY FROM THE SME SECTOR IN THE ERA OF GLOBAL CRISIS

2012

The year 2009 ended in Poland and other EU countries under the sign of the Great Depression, which began on the other side of the ocean but it covered almost the whole world. The most vulnerable to the crisis turned out to be companies from the SME sector which, in the European Union SMEs represent 99.8% companies operating within the Union, and their sales account for about 56.2% total revenues. EU small and medium-sized companies employ more than 66% workforce and they are the ones most heavily affected by the crisis. In Poland the company from the SME sector accounts for over 90% of all businesses operating in our country. And they were faced in front of the huge challenge which was how …

Peripheral blood levels of CXCL10 are a useful marker for diabetic polyneuropathy in subjects with type 2 diabetes.

2020

BACKGROUND Diabetic peripheral neuropathy (DPN) is a chronic complication of diabetes mellitus associated with high morbidity and mortality. Major risk factors for DPN include metabolic changes, duration of diabetes, nerve ischaemia and derangements in regeneration and nerve repair programmes. Chemokines have been previously implicated in the pathogenesis of various neuropathies and neuropathic pain processes. The aim of this pilot study was to evaluate the association between the plasma levels of chemokines (CXCL9, CXCL10 and CXCL11) in the presence of DPN in a cohort of type 2 diabetes (T2D) patients. MATERIALS AND METHODS We studied 73 patients with T2D: 36 with DPN and 37 without DPN. D…

Uniformization of two-dimensional metric surfaces

2014

We establish uniformization results for metric spaces that are homeomorphic to the Euclidean plane or sphere and have locally finite Hausdorff 2-measure. Applying the geometric definition of quasiconformality, we give a necessary and sufficient condition for such spaces to be QC equivalent to the Euclidean plane, disk, or sphere. Moreover, we show that if such a QC parametrization exists, then the dilatation can be bounded by 2. As an application, we show that the Euclidean upper bound for measures of balls is a sufficient condition for the existence of a 2-QC parametrization. This result gives a new approach to the Bonk-Kleiner theorem on parametrizations of Ahlfors 2-regular spheres by qu…

Association of interleukin-10G microsatellite polymorphism with the susceptibility of ankylosing spondylitis

2013

Study suggests an association of IL10.G poly- morphisms with AS which might contribute to the increased or decreased susceptibility to AS. IL10.G8 and G7 microsatellites alleles appear as protective alleles against the development of AS in the German subjects investigated here. Allele IL10.G9 seems to be a risk factor for the development of AS. This protective effect of variant promoter alleles could be related to differences in IL- 10 production, which may be clinically relevant.

Quasiconformal Jordan Domains

2020

We extend the classical Carath\'eodory extension theorem to quasiconformal Jordan domains $( Y, d_{Y} )$. We say that a metric space $( Y, d_{Y} )$ is a quasiconformal Jordan domain if the completion $\overline{Y}$ of $( Y, d_{Y} )$ has finite Hausdorff $2$-measure, the boundary $\partial Y = \overline{Y} \setminus Y$ is homeomorphic to $\mathbb{S}^{1}$, and there exists a homeomorphism $\phi \colon \mathbb{D} \rightarrow ( Y, d_{Y} )$ that is quasiconformal in the geometric sense. We show that $\phi$ has a continuous, monotone, and surjective extension $\Phi \colon \overline{ \mathbb{D} } \rightarrow \overline{ Y }$. This result is best possible in this generality. In addition, we find a n…