Search results for " space"
showing 10 items of 4562 documents
Accidental displacement of a dental implant into the sublingual space: A Case report
2016
Dental implant surgery is continuously expanding. In fact, every day more and more surgeons are choosing dental implants for allowing great results in the field of oral rehabilitation. However, these procedures are not exempt from complications. This report presents the case of a 66 years old man underwent implant surgery by a specialized dentist. No problems were reported during implant placement. Despite this, three months later, it was displaced into the sublingual space at the time of uncovering. Against this backdrop, the patient was referred to an expert maxillofacial surgeon. Next day, the implant was removed using an intraoral approach to reach the sublingual space. According with o…
Para-aortic lymphadenectomy in abnormal common iliac bifurcation
2021
A 60-year-old-woman was diagnosed with serous endometrial cancer and on pre-operative CT there was evidence of a higher confluence of the common iliac veins in the inferior vena cava ([Figure 1][1]). Due to the presence of ascites (800 mL) and of a neoplastic ileal nodule at laparoscopy, to avoid
heritage and culture as instruments of qualification of urban spaces : the case of the Musée Urbain Tony Garnier
2014
International audience; In this essay we will bring up the question of designing atypical objects, in this case, social housing, as cultural heritage. The continuing process of development of western cities raises new questions concerning division of living-areas produces districts of mixed populations, together with phenomena of social differentiation. Heritage and culture are henceforward tools for distinguishing social spaces and the groups of the associations movement unceasingly produces new heritage-artefacts, sometimes in contradiction with the administrative services of universe of heritage, and the concept of public good is in a certain way made use of in growing phenomena of urban…
Polska nie była i po 100 latach nie jest do Śląska odwrócona plecami. Budowanie obrazu śląskiego bożyca Wojciecha Korfantego (kilka przykładów z najn…
2022
Celem artykułu jest zwrócenie uwagi, że część środowisk w Polsce powtarza krzywdzącą opinię, według której Polacy byli w okresie powstań śląskich odwróceni do tego regionu plecami. Stanowisko takie miało swoje podłoże w rozczarowaniu części mieszkańców Górnego Śląska skalą pomocy, jaką walczącym w powstaniach Ślązakom udzielało państwo polskie. Takie oceny abstrahowały jednak od wewnętrznej oraz międzynarodowej sytuacji Polski w latach 1919–1921. Te powszechnie znane fakty zostały w artykule skonfrontowane z upamiętnieniami w wolnej Polsce, po 1989 r., postaci-symbolu walki o polskość Górnego Śląska, jakim był Wojciech Korfanty. A tu zarówno liczba, jak i skala przedsięwzięć, realizowanych,…
On one-dimensionality of metric measure spaces
2019
In this paper, we prove that a metric measure space which has at least one open set isometric to an interval, and for which the (possibly non-unique) optimal transport map exists from any absolutely continuous measure to an arbitrary measure, is a one-dimensional manifold (possibly with boundary). As an immediate corollary we obtain that if a metric measure space is a very strict $CD(K,N)$ -space or an essentially non-branching $MCP(K,N)$-space with some open set isometric to an interval, then it is a one-dimensional manifold. We also obtain the same conclusion for a metric measure space which has a point in which the Gromov-Hausdorff tangent is unique and isometric to the real line, and fo…
Differential of metric valued Sobolev maps
2020
We introduce a notion of differential of a Sobolev map between metric spaces. The differential is given in the framework of tangent and cotangent modules of metric measure spaces, developed by the first author. We prove that our notion is consistent with Kirchheim's metric differential when the source is a Euclidean space, and with the abstract differential provided by the first author when the target is $\mathbb{R}$.
Mappings of finite distortion between metric measure spaces
2015
We establish the basic analytic properties of mappings of finite distortion between proper Ahlfors regular metric measure spaces that support a ( 1 , 1 ) (1,1) -Poincaré inequality. As applications, we prove that under certain integrability assumption for the distortion function, the branch set of a mapping of finite distortion between generalized n n -manifolds of type A A has zero Hausdorff n n -measure.
Existence of optimal transport maps in very strict CD(K,∞) -spaces
2018
We introduce a more restrictive version of the strict CD(K,∞) -condition, the so-called very strict CD(K,∞) -condition, and show the existence of optimal maps in very strict CD(K,∞) -spaces despite the possible lack of uniqueness of optimal plans. peerReviewed
Non-branching geodesics and optimal maps in strong CD(K,∞) -spaces
2014
We prove that in metric measure spaces where the entropy functional is Kconvex along every Wasserstein geodesic any optimal transport between two absolutely continuous measures with finite second moments lives on a non-branching set of geodesics. As a corollary we obtain that in these spaces there exists only one optimal transport plan between any two absolutely continuous measures with finite second moments and this plan is given by a map. The results are applicable in metric measure spaces having Riemannian Ricci curvature bounded below, and in particular they hold also for Gromov-Hausdorff limits of Riemannian manifolds with Ricci curvature bounded from below by some constant. peerReview…