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7 papers · 1 filter
Correlation-induced orbital angular momentum changes
Yongtao Zhang, Olga Korotkova, Yangjian Cai +1
We demonstrate that the orbital angular momentum flux density of a paraxial light beam can change on propagation in free space. These changes are entirely due to the spatial cohere…
Some open problems on well-filtered spaces and sober spaces
Xiaoquan Xu, Dongsheng Zhao
In the past few years, the research on sober spaces and well-filtered spaces has got some breakthrough progress. In this paper, we shall present a brief summarising survey on some…
Laminar Tight Cuts in Matching Covered Graphs
Guantao Chen, Xing Feng, Fuliang Lu +2
An edge cut of a graph is {\it tight} if for every perfect matching of .~Barrier cuts and 2-separation cuts are called {\it ELP-cuts}, which are two i…
Coincidence of the upper Vietoris topology and the Scott topology
Xiaoquan Xu, Zhongqiang Yang
For a space , let $\mk (X)$ be the poset of all compact saturated sets of with the reverse inclusion order. The space is said to have property Q if for any $K_1, K…
Quotient with respect to admissible -subgyrogroups
Meng Bao, Fucai Lin
The concept of gyrogroups, with a weaker algebraic structure without associative law, was introduced under the background of -ball of relativistically admissible velocities with…
Some topological properties of topological rough groups
Fucai Lin, Qianqian Sun, Yujin Lin +1
Let be an approximation space with being non-empty set and being an equivalence relation on , and let and be the upper approximat…