A class of completely regular spaces by Patrik E. Eklund

“…In this paper we investigate topologies with ultrafilters having bases of open sets. …”
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Multiplicative Valency-Based Descriptors for Silicon Carbides Si2C3 − I[p, q], Si2C3 − II[p, q], Si2C3 − III[p, q], and SiC3 − III[p, q] in Drug Applications... by Jin Xu, Nasir Javaid, Shamas Bilal, Muhammad Rafaqat, Iskander Tlili

“…Topological indices help us to collect information about algebraic graphs and give us a mathematical approach to understand the properties of algebraic structures. …”
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Semigroup Actions on Intuitionistic Fuzzy Metric Spaces by Yaoyao Lan, Qingguo Li

“…This paper investigates the dynamical systems in the context of topological semigroup actions on intuitionistic fuzzy metric spaces. …”
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Some New Upper Bounds for the Y-Index of Graphs by Durbar Maji, Ganesh Ghorai, Faria Ahmed Shami

“…In mathematical chemistry, the topological indices with highly correlation factor play a leading role specifically for developing crucial information in QSPR/QSAR analysis. …”
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A characterization of the algebra of holomorphic functions on a simply connected domain by Derming Wang, Saleem Watson

“…It is shown that A isomorphic to H(Ω) where Ω is a simply connected domain in ℂ if and only if A has no topological divisors of zero. It follows from this that there are exactly three ℱ-algebras (up to isomorphism) which are singly generated and have no topological divisors of zero.…”
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On S-cluster sets and S-closed spaces by M. N. Mukherjee, Atasi Debray

“…A new type of cluster sets, called S-cluster sets, of functions and multifunctions between topological spaces is introduced, thereby providing a new technique for studying S-closed spaces. …”
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Fuzzy super irresolute functions by S. E. Abbas

“…Several characterizations, properties, and their effect on some fuzzy topological spaces are studied. Also, a new class of fuzzy topological spaces under the terminology fuzzy S∗-closed spaces is introduced and investigated.…”
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On smooth fuzzy subspaces by S. E. Abbas

“…We introduce a new concept of smooth topological subspaces, which coincides with the usual definition in the case where μ=χY, Y⊂X. …”
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Characterization of Bipolar Vague Soft S-Open Sets by Farkhanda Afzal, Arif Mehmood, Samer Al Ghour, Mudasar Zafar, Hamzah Sakidin, Saeed Gul

“…This paper concerns the study of the concept of bipolar vague soft s-open set, bipolar vague soft s-interior, bipolar vague soft s-closer, and bipolar vague soft s-exterior in bipolar vague soft topological spaces. By using such concepts, some results are addressed in bipolar vague soft topological spaces. …”
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State Classification for Humanoid Robots by Jialun Yang, Feng Gao, Lifeng Shi, Zhenlin Jin

“…In this paper, we decouple the motion-planning problem of humanoid robots into two sub-problems, namely topological state planning and detailed motion planning. …”
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On Computation of Face Index of Certain Nanotubes by Ansheng Ye, Aisha Javed, Muhammad Kamran Jamil, Kanza Abdul Sattar, Adnan Aslam, Zahid Iqbal, Asfand Fahad

“…Topological index is a number that can be used to characterize the graph of a molecule. …”
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On the Temperature Indices of Molecular Structures of Some Networks by Akbar Jahanbani, Rana Khoeilar, Murat Cancan

“…The topological index is a molecular predictor that is commonly supported in the research of QSAR of pharmaceuticals to numerically quantify their molecular features. …”
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Derived Categories and the Analytic Approach to General Reciprocity Laws—Part II by Michael C. Berg

“…Building on the topological foundations constructed in Part I, we now go on to address the homological algebra preparatory to the projected final arithmetical phase of our attack on the analytic proof of general reciprocity for a number field. …”
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Gene Coexpression Network Comparison via Persistent Homology by Ali Nabi Duman, Harun Pirim

“…Persistent homology, a topological data analysis (TDA) method, is applied to microarray data sets. …”
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Notes on integrating out M2 branes by Jarod Hattab, Eran Palti

“…The end result is a recently proposed new formula for the topological string free energy.…”
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Compatible elements in partly ordered groups by Jirí Mockor, Angeliki Kontolatou

“…It is proved that if G is defined by a family of t-valuations of finite character, then G admits an SQDP if and only if it admits a quasi-divisor property and any finitely generated t-ideal is generated by two elements. A topological density condition in topological group of finitely generated t-ideals and/or compatible elements are proved to be equivalent to SQDP.…”
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Some Inequalities between General Randić-Type Graph Invariants by Imran Nadeem, Saba Siddique, Yilun Shang

“…The Randić-type graph invariants are extensively investigated vertex-degree-based topological indices and have gained much prominence in recent years. …”
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Derived categories and the analytic approach to general reciprocity laws. Part I by Michael Berg

“…We reformulate Hecke's open problem of 1923, regarding the Fourier-analytic proof of higher reciprocity laws, as a theorem about morphisms involving stratified topological spaces. We achieve this by placing Kubota's formulations of n-Hilbert reciprocity in a new topological context, suited to the introduction of derived categories of sheaf complexes. …”
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Representation and Reasoning of Three-Dimensional Spatial Relationships Based on R5DOS-Intersection Model Representation and Reasoning Based on R5DOS Model by Jian Li, Weijian Zhang, Yating Hu, Zhun Wang

“…This paper aims to disclose the compound topological and directional relationships of three simple regions in the three-dimensional (3D) space. …”
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Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph by Peng Xu, Muhammad Numan, Aamra Nawaz, Saad Ihsan Butt, Adnan Aslam, Asfand Fahad

“…Furthermore, we will derive two well-known topological indices for the abovementioned graphs, first Weiner index, and second hyper-Wiener index.…”
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