Weakly compactly generated Frechet spaces by Surjit Singh Khurana

“…It is proved that a weakly compact generated Frechet space is Lindelöf in the weak topology. As a corollary it is proved that for a finite measure space every weakly measurable function into a weakly compactly generated Frechet space is weakly equivalent to a strongly measurable function.…”
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Periodic Boehmians by Dennis Nemzer

“…It is shown that the Boehmians, with a given complete metric topological vector space topology, is not locally bounded.…”
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On the Equivalence of B-Rigidity and C-Rigidity for Quasitoric Manifolds by Jin Hong Kim

“…For quasitoric manifolds and moment-angle complexes which are central objects recently much studied in toric topology, there are several important notions of rigidity formulated in terms of cohomology rings. …”
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Evaluation method for node importance in communication networks by CHEN Yong, HU Ai-qun, HU Xiao

“…Experimental results show that the method is simple and can reflect node importance determined by the network topology more precisely.…”
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Minimizing energy among homotopic maps by Pengzi Miao

“…After deriving an approximate monotonicity property for {ui} and a continuous version of the Luckhaus lemma (Simon, 1996) on S2, we show that, passing to a subsequence, {ui} converges strongly in W1,2 topology wherever there is small energy concentration.…”
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Intuitionistic fuzzy proximity spaces by Seok Jong Lee, Eun Pyo Lee

“…Also we investigate the relationship among intuitionistic fuzzy proximity and fuzzy proximity, and intuitionistic fuzzy topology.…”
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On the Covariance of Moore-Penrose Inverses in Rings with Involution by Hesam Mahzoon

“…We will show that if a is a regular element in a C∗-algebra, then the covariance set of a is closed in the set of invertible elements (with relative topology) of C∗-algebra and is a cone in the C∗-algebra.…”
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On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes by Rajesh K. Thumbakara

“…Frame theory is the study of topology based on its open set lattice, and it was studied extensively by various authors. …”
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Homotopy Characterization of ANR Function Spaces by Jaka Smrekar

“…Let Y be an absolute neighbourhood retract (ANR) for the class of metric spaces and let X be a topological space. Let YX denote the space of continuous maps from X to Y equipped with the compact open topology. …”
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A note on weakly θ-continuous functions by M. Mrševic, I. L. Reilly

“…Recently a new class of functions between topological spaces, called weakly θ-continuous functions, has been introduced and studied. …”
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A characterization of singular endomorphisms of a barrelled Pták space by Damir Franekić

“…The concept of topological divisor of zero has been extended to endomorphisms of a locally convex topological vector space (LCTVS). …”
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Slightly β-continuous functions by Takashi Noiri

“…Especially, we define the notion of ultra-regularizations of a topology and obtain interesting characterizations of slightly β-continuous functions by using it.…”
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A note on nonfragmentability of Banach spaces by S. Alireza Kamel Mirmostafaee

“…We use Kenderov-Moors characterization of fragmentability to show that if a compact Hausdorff space X with the tree-completeness property contains a disjoint sequences of clopen sets, then (C(X), weak) is not fragmented by any metric which is stronger than weak topology. In particular, C(X) does not admit any equivalent locally uniformly convex renorming.…”
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Study on event routing algorithms for publish/subscribe communication systems by XUE Xiao-ping 1, WANG Xiao-ping 2, ZHANG Si-dong1, ZHANG Hong-ke1

“…The architectures of publish/subscribe communication systems and various routing mechanisms and algorithms were discussed and reviewed,including the basic methods of finding communication objects,routes optimization and routes for supporting topology change and client mobile,etc; The routing methods of famous P/S systems were compared and analyzed; On the perspective of the system scalability,the direction of further research was proposed finally.…”
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Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications by Carmen Gómez-Fayrén, Tomás Ortín, Matteo Zatti

“…We show that, in presence of isometries and non-trivial topology, the Einstein–Hilbert action is invariant under certain transformations of the metric which are not diffeomorphisms. …”
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Comparison of the evolutionary patterns of DNA repeats in ancient and young invertebrate species flocks of Lake Baikal by Wang Yuxiang, T. E. Peretolchina, E. V. Romanova, D. Y. Sherbakov

“…In order to do so, a neighbor joining tree was inferred for each quartet of species (amphipods and mollusks) based on the ratio of repeat classes shared in each pair of species. The topology of this tree was compared to the phylogenies inferred for the same species from the concatenated protein-coding mitochondrial nucleotide sequences. …”
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Trusted fuzzy routing scheme in flying ad-hoc network by Sahabul Alam, Joydeep Kundu, Shivnath Ghosh, Arindam Dey

“…Therefore, building routing protocols for FANETs is difficult due to flight restrictions and changing topology. To solve these problems, a bio-inspired route selection technique is proposed for FANET. …”
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AC Fault Mechanism and Impact Analysis of Offshore Wind Power Connected to Flexible and Direct Systems by Wanli JIANG, Ruoyu WANG, Jiajing LI, Jingyi LIANG

“…[Objective] In order to better understand the fault characteristics of offshore wind power access system, the impact analysis of AC fault characteristics of offshore wind power access system is carried out. [Method] The topology analysis of grid-connected transmission system of offshore wind power and the work control principle analysis of offshore wind power electrical structure were presented, including the work control principle analysis of PMSG, the topology and principle analysis of flexible and direct transmission system, the work control principle analysis of offshore converter station, the work control principle analysis of onshore converter station, and the work control principle analysis of offshore converter station. …”
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Access control relationship prediction method based on GNN dual source learning by Dibin SHAN, Xuehui DU, Wenjuan WANG, Aodi LIU, Na WANG

“…With the rapid development and wide application of big data technology, users’ unauthorized access to resources becomes one of the main problems that restrict the secure sharing and controlled access to big data resources.The ReBAC (Relationship-Based Access Control) model uses the relationship between entities to formulate access control rules, which enhances the logical expression of policies and realizes dynamic access control.However, It still faces the problems of missing entity relationship data and complex relationship paths of rules.To overcome these problems, a link prediction model LPMDLG based on GNN dual-source learning was proposed to transform the big data entity-relationship prediction problem into a link prediction problem with directed multiple graphs.A topology learning method based on directed enclosing subgraphs was designed in this modeled.And a directed dual-radius node labeling algorithm was proposed to learn the topological structure features of nodes and subgraphs from entity relationship graphs through three segments, including directed enclosing subgraph extraction, subgraph node labeling calculation and topological structure feature learning.A node embedding feature learning method based on directed neighbor subgraph was proposed, which incorporated elements such as attention coefficients and relationship types, and learned its node embedding features through the sessions of directed neighbor subgraph extraction and node embedding feature learning.A two-source fusion scoring network was designed to jointly calculate the edge scores by topology and node embedding to obtain the link prediction results of entity-relationship graphs.The experiment results of link prediction show that the proposed model obtains better prediction results under the evaluation metrics of AUC-PR, MRR and Hits@N compared with the baseline models such as R-GCN, SEAL, GraIL and TACT.The ablation experiment results illustrate that the model’s dual-source learning scheme outperforms the link prediction effect of a single scheme.The rule matching experiment results verify that the model achieves automatic authorization of some entities and compression of the relational path of rules.The model effectively improves the effect of link prediction and it can meet the demand of big data access control relationship prediction.…”
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Continuous and Discrete Similarity Coefficient for Identifying Essential Proteins Using Gene Expression Data by Jiancheng Zhong, Zuohang Qu, Ying Zhong, Chao Tang, Yi Pan

“…Using the graph theory as the basis, we fused the newly proposed similarity coefficient with the existing network topology prediction algorithm at each protein node to recognize essential proteins. …”
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