Topological phases and non-Hermitian topology in photonic artificial microstructures by Liu Hui, Lai Pengtao, Wang Haonan, Cheng Hua, Tian Jianguo, Chen Shuqi

Subjects: “…non-hermitian topology…”
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Coupled Fixed Point Theorems in Topological Spaces with Size Function Topology by Gun Sunyeekhan

“…Regarding the concept of size function topology, this allows us to view the topological space X as a metric-like space. …”
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Tilings in topological spaces by F. G. Arenas

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Semi-topological properties by Bhamini M. P. Nayar, S. P. Arya

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On Random Topological Structures by Ravi P. Agarwal, Yeol Je Cho, Reza Saadati

“…The main purpose of this paper is to study topological structure of random normed spaces and random functional analysis. …”
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Topological Methods in Analysis by Salvador Hernández, Lawrence Narici, Javier Trigos-Arrieta

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On topologies over rings by Syed M. Fakhruddin

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Topological Quasilinear Spaces by Yılmaz Yılmaz, Sümeyye Çakan, Şahika Aytekin

“…Thus, we prove that any topological quasilinear space may not satisfy the localization principle of topological vector spaces.…”
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Topological quantum photonics by Amin Hashemi, M. Javad Zakeri, Pawel S. Jung, Andrea Blanco-Redondo

“…Topological quantum photonics explores the interaction of the topology of the dispersion relation of photonic materials with the quantum properties of light. …”
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A Topology on Milnor’s Group of a Topological Field and Continuous Joint Determinants by Sung Myung

“…We introduce a natural topology on Milnor’s K-groups of a topological field as the quotient topology induced by the joint determinant map and investigate the existence of a nontrivial continuous joint determinant by utilizing this topology, generalizing the author’s previous results on the continuous joint determinants for the commuting invertible matrices over R and C.…”
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Configuration Design and Topology Description of the Power Release Latch with Variable Topology Characteristic by Bai Lele, Hang Lubin, Liu Zhe, Miao Hong, Huang Xiaobo, Guo Hui, Chen Yong, Hua Yong

“…The incidence matrix is used to study the topological structure state of the power release branch chain. …”
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Topological Study of Zeolite Socony Mobil-5 via Degree-Based Topological Indices by Nouman Saeed, Kai Long, Tanweer Ul Islam, Zeeshan Saleem Mufti, Ayesha Abbas

“…In graph theory, a graph is made up of vertices connected through edges. Topological indices are numerical parameters or descriptors of graph. …”
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Topology in nonlinear extensions of hypernumbers by M. S. Burgin

“…Other topologies in spaces of extended hypernumbers are considered.…”
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Semicompactness in L-topological spaces by Fu-Gui Shi

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Mutually Compactificable Topological Spaces by Martin Maria Kovár

“…Two disjoint topological spaces X, Y are (T2-) mutually compactificable if there exists a compact (T2-) topology on K=X∪Y which coincides on X, Y with their original topologies such that the points x∈X, y∈Y have open disjoint neighborhoods in K. …”
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Survey on UASN topology control by Hong-ri LIU, Yun-xiao SUN, Jia SONG, Yang LIU, Jun-heng HUANG, Bai-ling WANG

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On λ-rings and topological realization by Donald Yau

“…The question of how many of these filtered λ-ring structures are topologically realizable by the K-theory of torsion-free spaces is also considered for truncated polynomial rings.…”
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Topology of 3-dimensional manifolds by Eaman Eftekhary

“…This is the second paper from a trio which reviews some of the progress in low dimensional topology in the past century. Starting with the work of Poincare in the last years of 19th century and first few years of 20th century, we review the major steps in putting 3-manifolds and their algebraic topology in a solid mathematical framework, and the important theorems which strengthened the understanding of 3-manifolds, including the prime decomposition theorem and JSJ decomposition of 3-manifolds. …”
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Survey on network topology visualization by Song WANG, Ye ZHANG, Yadong WU

“…As the basis of network monitoring,network management,and network security situation awareness,network topology visualization plays an underlying role in reflecting the whole state of the network and discovering the potential rules in the network topology.The basic content of network topology visualization was introduced and the main challenges in the research of network topology visualization were summarized from two aspects:the internal characteristics of network data and the point of the applied demand angle of the users.A top-down VPI model for network topology visualization and analysis drawing from the experience of domain experts by analyzing and understanding the nodes and connection status of network topology,having an insight into the potential laws of topological information like performance bottleneck,network security,time-varying characteristics and so on.This model includes vision,procedure,and interaction.According to the VPI model,visualization methods based on perception enhance were summarized from three aspects:enhancement of visual perception,enhancement of time-varied procedure and enhancement of exploratory interaction.Finally,future development trend of those topics were discussed combined with application demand.…”
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On the Topological and Uniform Structure of Diversities by Andrew Poelstra

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