scholarly journals Selection principles of the Fell topology and the Vietoris topology

2016 ◽  
Vol 212 ◽  
pp. 90-104 ◽  
Author(s):  
Zuquan Li
2003 ◽  
Vol 4 (2) ◽  
pp. 201 ◽  
Author(s):  
Som Naimpally

<p>In this paper we present two themes. The first one describes a transparent treatment of some of the recent results in graph topologies on multi-valued functions. The study includes Vietoris topology, Fell topology, Fell uniform topology on compacta and uniform topology on compacta. The second theme concerns when continuity is equivalent to proximal continuity or uniform continuity.</p>


2021 ◽  
Vol 288 ◽  
pp. 107480 ◽  
Author(s):  
Xiaoquan Xu ◽  
Zhongqiang Yang

2021 ◽  
Vol 25 (20) ◽  
pp. 12693-12702 ◽  
Author(s):  
Ljubiša D. R. Kočinac ◽  
Tareq M. Al-shami ◽  
Vildan Çetkin

2021 ◽  
pp. 1-18
Author(s):  
YOTAM SMILANSKY ◽  
YAAR SOLOMON

Abstract We prove that in every compact space of Delone sets in ${\mathbb {R}}^d$ , which is minimal with respect to the action by translations, either all Delone sets are uniformly spread or continuously many distinct bounded displacement equivalence classes are represented, none of which contains a lattice. The implied limits are taken with respect to the Chabauty–Fell topology, which is the natural topology on the space of closed subsets of ${\mathbb {R}}^d$ . This topology coincides with the standard local topology in the finite local complexity setting, and it follows that the dichotomy holds for all minimal spaces of Delone sets associated with well-studied constructions such as cut-and-project sets and substitution tilings, whether or not finite local complexity is assumed.


1992 ◽  
Vol 25 (4-5) ◽  
pp. 223-224
Author(s):  
J.L. Rose ◽  
A. Pilarski ◽  
J.J. Ditri

2014 ◽  
Vol 556-562 ◽  
pp. 1959-1963
Author(s):  
Si Ming Wei ◽  
Yi Gong Zhang ◽  
Huan Liu ◽  
Zhi Qiang Dai ◽  
Xiao Du

It is great significance for development of MTDC (Multi-terminal HVDC) to build DC transmission and distribution grids. However, the relatively low impedance in DC grids makes the fault penetration much faster and deeper .Consequently, fast and reliable DC circuit breaker is needed to isolate faults. Breaking time and other parameters are important for a breaker to achieve its goals. This paper presents a DC circuit breaker with a current-limiting inductance and gets the rising and falling characteristics of fault current. Based on the characteristics, a design method of breaking time sequence will be given, as well as the calculation of current-limiting inductance and the selection principles of arresters. A 10kV DC distribution grid is modeled and simulated by PSCAD/EMTDC to verify that the method can meet the requirements of breaking fault current quickly and reliably.


2008 ◽  
Vol 12 (3) ◽  
pp. 561-571 ◽  
Author(s):  
Ljubiša D. R. Kočinac
Keyword(s):  

2021 ◽  
Vol 631 (1) ◽  
pp. 012005
Author(s):  
Liheng Zhang ◽  
Yi He ◽  
Jie Chen

Abstract As an auxiliary project of engineering construction, spoil ground is often not given enough attention. Unreasonable spoiled materials not only have negative impacts on the local natural environment, but also generate the risk of secondary disasters. The selection and design of spoil ground is an important part of earthwork. And thus it is necessary to select the site of spoil ground reasonably and carefully and carry out detailed design of spoil, protection and flood drainage. First of all, the basic selection principles of spoil ground were discussed in this paper. Then, combined with the spoil ground design of the Heat and Power Cogeneration Power Workshop Project in Zhenfeng County's Coal, Electricity and Metallurgical Integration Industrial Park, the author presented elaboration of the technical key points of site selection, slope stability, blocking engineering and flood drainage system of large-scale spoil ground. The analysis in this paper can be used as a reference for similar spoil ground design.


2020 ◽  
Vol 107 (121) ◽  
pp. 45-51
Author(s):  
Dragan Djurcic ◽  
Nebojsa Elez ◽  
Valentina Timotic

We introduce a proper subclass of the class of rapidly varying sequences (logarithmic (translationally) rapidly varying sequences), motivated by a notion in information theory (self-information of the system). We prove some of its basic properties. In the main result, we prove that Rothberger?s and Kocinac?s selection principles hold, when this class is on the second coordinate, and on the first coordinate we have the class of positive and unbounded sequences


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