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Topological properties of spaces ordered by preferences
Published 1999-01-01Subjects: Get full text
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42
Dimension theory and fuzzy topological spaces
Published 2006-01-01“…Furthermore, an effort is made to introduce and study dimension functions for fuzzy topological spaces. It has been possible to introduce and study the small inductive dimension function indfX and large inductive dimension function indfX for a fuzzy topological space X.…”
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L-fuzzifying topological vector spaces
Published 2005-01-01“…Finally, the conclusion that the category of L-fuzzifying topological vector spaces is topological over the category of vector spaces is proved.…”
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Higher-order topology for collective motions
Published 2024-12-01“…However, these models usually follow pairwise topology and seldom maintain better responsiveness and persistence simultaneously, particularly in the face of sudden predator-like invasion. …”
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The open-open topology for function spaces
Published 1993-01-01Subjects: “…compact-open topology…”
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On Metrization of the Topologies Induced by Fuzzy Metrics
Published 2020-01-01“…After introducing the concept of a stratified function in a fuzzy metric space, we prove that the topology generated by the family of stratified functions coincides with the topology generated by the fuzzy metric. …”
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On Pexider Differences in Topological Vector Spaces
Published 2011-01-01“…Let 𝑋 be a normed space and 𝑌 a sequentially complete Hausdorff topological vector space over the field ℚ of rational numbers. …”
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Persistent Topological Laplacians—A Survey
Published 2025-01-01Subjects: “…topological data analysis…”
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On 3-topological version of θ-regularity
Published 2000-01-01Subjects: “…Spaces with 2 and 3 topologies…”
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The order topology for function lattices and realcompactness
Published 1981-01-01Subjects: “…order topology…”
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Compactness in intuitionistic fuzzy topological spaces
Published 2005-01-01“…We introduce fuzzy almost continuous mapping, fuzzy weakly continuous mapping, fuzzy compactness, fuzzy almost compactness, and fuzzy near compactness in intuitionistic fuzzy topological space in view of the definition of Šostak, and study some of their properties. …”
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Computation of Topological Indices of NEPS of Graphs
Published 2021-01-01“…In this analysis, degree-related topological indices have a significant place in nanotechnology and theoretical chemistry. …”
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Convergent nets in abelian topological groups
Published 2001-01-01“…A net in an abelian group is called a T-net if there exists a Hausdorff group topology in which the net converges to 0. This paper describes a fundamental system for the finest group topology in which the net converges to 0. …”
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A Framework of the Meshless Method for Topology Optimization Using the Smooth-Edged Material Distribution for Optimizing Topology Method
Published 2024-12-01Subjects: “…topology optimization…”
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On Topological Indices for New Classes of Benes Network
Published 2021-01-01“…Topological indices (TIs) transform a molecular graph into a number. …”
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Large Function Algebras with Certain Topological Properties
Published 2015-01-01“…We prove that the set of perfectly everywhere surjective functions together with the zero function contains a 2c-generated algebra closed in the topology of uniform convergence while it does not contain a nontrivial algebra closed in the pointwise convergence topology. …”
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Stochastic processes on totally disconnected topological groups
Published 2003-01-01“…Stochastic processes on totally disconnected topological groups are investigated. In particular, they are considered for diffeomorphism groups and loop groups of manifolds on non-Archimedean Banach spaces. …”
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