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GENERALIZED PRODUCT TOPOLOGY [PDF]
Summary: Similarly to the Tychonoff product, we introduce the concept of generalized product topology which is different from the notion of product of generalized topologies in [\textit{Á. Császár}, Acta Math. Hung. 123, No. 1--2, 127--132 (2009; Zbl 1224.54003)] for a generalized topology and obtain some properties of it.
Xinxing Wu, Peiyong Zhu
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Only 3-generalized metric spaces have a compatible symmetric topology
We prove that every 3-generalized metric space is metrizable. We also show that for any ʋ with ʋ ≥ 4, not every ʋ-generalized metric space has a compatible symmetric topology.
Suzuki Tomonari +2 more
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Topological Properties of Generalized Rough Approximation Operators Based on Objects [PDF]
Rough set theory is a mathematical tool to deal with uncertain problems.The core notion of rough set theory is appro-ximation operators.Pawlak approximation operators based on equivalence relations cab be extended to generalized rough approximation ...
LI Yanyan, QIN Keyun
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Theory of Generalized Sets in Generalized Topological Spaces
Several specific types of generalized sets (briefly, g-T_g-sets in generalized topological spaces (briefly, T_g-spaces have been defined and investigated for various purposes from time to time in the literature of T_g-spaces.
Noor-ul-hacq Sookıa +1 more
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Fast Performance Evaluation for Switched-Capacitor Converter Based on Convolutional Neural Networks
Switched-capacitor converters (SCCs) have been developed for decades and applied successfully in many applications thanks to their merits of high power density, high efficiency, and low cost.
Weiyue Huo +5 more
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Fuzzy $\mu^*$-Open Set and Fuzzy $\mu^*$-Continuous Function [PDF]
The prime goal of this article is to initiate the notion of fuzzy $\mu^*$-open(closed) sets and fuzzy $\mu^*$-continuous functions and characterize them.
Pankaj Chettri, Bishal Bhandari
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The topology of general cosmological models*
Abstract Is the Universe finite or infinite, and what shape does it have? These fundamental questions, of which relatively little is known, are typically studied within the context of the standard model of cosmology where the Universe is assumed to be homogeneous and isotropic.
Gregory J Galloway +2 more
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More properties of generalized open sets in generalized topological spaces
Sarsak [M. S. Sarsak, On some properties of generalized open sets in generalized topological spaces, Demonstr. Math. 46 (2013), no. 2, 415–427] studied some properties of generalized open sets in generalized topological spaces (GTSs); the primary purpose
Sarsak Mohammad S.
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On functions between generalized topological spaces
This paper investigates generalized topological spaces and functions between such spaces from the perspective of change of generalized topology. In particular, it considers the preservation of generalized connectedness properties by various classes of ...
Sadik Bayhan, A. Kanibir, Ivan L. Reilly
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More on μ-semi-Lindelöf sets in μ-spaces
Sarsak [On μ\mu -compact sets in μ\mu -spaces, Questions Answers Gen. Topology 31 (2013), no. 1, 49–57] introduced and studied the class of μ\mu -Lindelöf sets in μ\mu -spaces. Mustafa [μ\mu -semi compactness and
Sarsak Mohammad S.
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