scholarly journals Alexandrov spaces with integral current structure

2021 ◽  
Vol 29 (1) ◽  
pp. 115-149
Author(s):  
M. Jaramillo ◽  
R. Perales ◽  
P. Rajan ◽  
C. Searle ◽  
A. Siffert
2018 ◽  
Vol 12 (03) ◽  
pp. 819-839 ◽  
Author(s):  
Nan Li ◽  
Raquel Perales

We study sequences of integral current spaces [Formula: see text] such that the integral current structure [Formula: see text] has weight [Formula: see text] and no boundary and, all [Formula: see text] are closed Alexandrov spaces with curvature uniformly bounded from below and diameter uniformly bounded from above. We prove that for such sequences either their limits collapse or the Gromov–Hausdorff and Sormani–Wenger Intrinsic Flat limits agree. The latter is done showing that the lower [Formula: see text]-dimensional density of the mass measure at any regular point of the Gromov–Hausdorff limit space is positive by passing to a filling volume estimate. In an appendix, we show that the filling volume of the standard [Formula: see text]-dimensional integral current space coming from an [Formula: see text]-dimensional sphere of radius [Formula: see text] in Euclidean space equals [Formula: see text] times the filling volume of the [Formula: see text]-dimensional integral current space coming from the [Formula: see text]-dimensional sphere of radius [Formula: see text].


2018 ◽  
Vol 19 (3) ◽  
pp. 19-24
Author(s):  
A. S. Povzun ◽  
V. I. Mazurov

The purpose of the work was to study the nosological structure of rheumatologic patients hospitalized  in emergency hospitals. The analysis of the obtained distribution and its comparison with the structure  of patients at the Scientific Research Institute of emergency care named after I. I. Djanelidze and the City  Rheumatology Center were done. Determination of the current structure of hospitalization of rheumatologic  patients can serve as a basis of its forecasting for the subsequent periods.


2020 ◽  
Vol 19 (3) ◽  
pp. 500-516 ◽  
Author(s):  
Micheál L. Collins

The provision of taxation relief to support pension savings has become a large and expensive aspect of the welfare state in many countries. Among OECD member states this exceeds $200 billion in revenue forgone each year. Previous research has consistently found this fiscal welfare to have pronounced regressive distributive outcomes. However, little is known about the gendered impact of these fiscal welfare supports, a void this article addresses. Using data for Ireland the article finds that the current structure of fiscal welfare supports notably favours males over females. Nominal contribution levels are higher among males, and males are more likely to be active contributors to pension savings. The associated tax supports are consequently skewed, with two-thirds received by men and one-third by women. This outcome suggests a continuation of the gender earnings gap into retirement and a discontinuity between longevity expectations and tax policy supports for pension provision.


1994 ◽  
Vol 39 (3) ◽  
pp. 629-658 ◽  
Author(s):  
Yukio Otsu ◽  
Takashi Shioya

2015 ◽  
Vol 58 (4) ◽  
pp. 787-798 ◽  
Author(s):  
Yu Kitabeppu ◽  
Sajjad Lakzian

AbstractIn this paper, we generalize the finite generation result of Sormani to non-branching RCD(0, N) geodesic spaces (and in particular, Alexandrov spaces) with full supportmeasures. This is a special case of the Milnor’s Conjecture for complete non-compact RCD(0, N) spaces. One of the key tools we use is the Abresch–Gromoll type excess estimates for non-smooth spaces obtained by Gigli–Mosconi.


2017 ◽  
Vol 26 (4) ◽  
pp. 441-455 ◽  
Author(s):  
Frank Kalinka ◽  
Katharina Roloff ◽  
Jakob Tendel ◽  
Thomas Hauf

2021 ◽  
Vol 27 (3) ◽  
pp. 765-777
Author(s):  
Juan Pablo Artero-Muñoz ◽  
Ricardo Zugasti ◽  
Sira Hernánez-Corchete

In Spain, the media market structure is made up of very different media groups, making it necessary to identify and classify them in a clear and coherent manner. To do so, this article collects secondary information from media companies’ websites and from audience measurement institutions. Results identify 50 media groups with activity in the Spanish market. They are classified into three categories according to the type of outlet, including national, sectorial, and regional. The current structure is based on recent developments in the last four decades of democracy among newspapers, magazines, radio, television and digital media.


2011 ◽  
Vol 33 (spc3) ◽  
pp. 397-407
Author(s):  
Eung Kim ◽  
Dong-Chull Jeon ◽  
Chang-Woong Shin ◽  
Dong-Guk Kim

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