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A Survey on Generalized Topological Indices for Silicon Carbide Structure
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About uniformly Lindelöf spaces
Published 2021-11-01“…The idea of Lindelöfness is one of the most important in General Topology. There have been some variants in defining uniformly Lindelöfness of uniform spaces. …”
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La nuit pensée et vécue comme une frontière quasi topologique
Published 2020-07-01“…The notions “night”, “day”, “sunset”, “sunrise”, “dawn” and “dusk” have meanings that are not independent, since they are part of frameworks structured by a quasi-topology, which is an extension of the general topology. To a place, the quasi-topology links its interior and strict interior, its closure and large closure, its internal and external boundaries, its simple boundary and large boundary... …”
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Soft almost weakly continuous functions and soft Hausdorff spaces
Published 2024-12-01“…Furthermore, we investigate the link between soft almost weakly continuous functions and their general topology counterparts. We present adequate conditions for a soft almost weakly continuous function to become soft weakly continuous (soft pre-continuous). …”
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Soft Separation Axioms and Fixed Soft Points Using Soft Semiopen Sets
Published 2020-01-01“…The advantages behind using these relations are, first, generalization of existing comparable properties on general topology and, second, eliminating the stability shape of soft open and closed subsets of soft semiregular spaces. …”
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Synthesis and Numerical Analysis of Compliant Devices: A Topology Optimization Approach for Mechanisms and Robotic Systems
Published 2022-01-01“…This research paper emphasizes more on general topology optimization design for a rectangular domain in which numerically analyzed with defined boundary conditions. …”
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A Linear Algebraic Framework for Dynamic Scheduling Over Memory-Equipped Quantum Networks
Published 2024-01-01“…This article deals with the problem of scheduling in an arbitrary entanglement swapping quantum network—often called first-generation quantum network—in its general topology, multicommodity, loss-aware formulation. …”
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Tilings in topological spaces
Published 1999-01-01“…On the other hand, the study of tilings of general topological spaces is just beginning (see [1, 3, 4, 6]). …”
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Pinning Synchronization of One-Sided Lipschitz Complex Networks
Published 2014-01-01“…A selective pinning scheme is further provided to address the selection of pinned nodes and the design of pinning feedback gains for one-sided Lipschitz complex networks with general topologies. Numerical results are given to illustrate the effectiveness of the theoretical analysis.…”
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On absolutely invertibles
Published 2024-12-01“…In this manuscript, the notion of absolutely invertible was extended consistently from semi-normed rings to the class of general topological rings. Then, the closure of the absolutely invertibles multiplied by a certain element was proved to be contained in the set of topological divisors of the element. …”
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On $\mu^{*}$-$R_{0}$ and $\mu^{*}$-$R_{1}$ Spaces with Separation Axioms
Published 2024-07-01“…In this paper, we define and investigate $\mu^{*}$-$R_{0}$ and $\mu^{*}$-$R_{1}$ spaces in a generalized topological space together with a topology. Independence of these spaces from the existing allied concepts is shown by examples, which motivates to explore them further. …”
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Multiplication operators on weighted spaces in the non-locally convex framework
Published 1997-01-01“…The main purpose of this paper is to give necessary and sufficient conditions for Mθ and Mψ to be the multiplication operators on CV0(X,E) where E is a general topological space (or a suitable topological algebra) which is not necessarily locally convex. …”
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