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Initial Topology, Topological Vector Spaces, Weak Topology
2020The main objective of this chapter is to present the definition of topological vector spaces and to derive some fundamental properties. We will also introduce dual pairs of vector spaces and the weak topology. We start the chapter by briefly recalling concepts of topology and continuity, thereby also fixing notation.
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2019
Networks are a convenient and powerful tool for modeling many real world processes, crossing different industrial, sociological and scientific areas, that exhibit some sort of interaction, called edge or link, between different target entities, called nodes.
Giuseppe Manco +2 more
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Networks are a convenient and powerful tool for modeling many real world processes, crossing different industrial, sociological and scientific areas, that exhibit some sort of interaction, called edge or link, between different target entities, called nodes.
Giuseppe Manco +2 more
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Exceptional topology of non-Hermitian systems
Reviews of Modern Physics, 2021Emil J Bergholtz +2 more
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Non-Hermitian topology and exceptional-point geometries
Nature Reviews Physics, 2022Kun Ding, Chen Fang, Guancong
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Topology and geometry under the nonlinear electromagnetic spotlight
Nature Materials, 2021Qiong +2 more
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On a topological observation connected with topology and *-topology
2018Valuable collections such as semiopen, *-open, semi*-I-open etc. have been handled in the most of the research areas of the topology for many applications. In the present paper, a new topological collection, namely semi(I)*-open sets, containing topology and *-topology is introduced and studied.
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