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Improved FTIR-based classification for food authentication using a topological ensemble framework. [PDF]
Curr Res Food SciYu HC, Chen YK.
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Experimental realization of logical elastic bits as qubit analogues in a nonlinear oscillator. [PDF]
Sci RepMahmood KT +5 more
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Fuzzy topological vector spaces I
Fuzzy Sets and Systems, 1981This is a continuation of ibid. 6, 85-95 (1981; Zbl 0463.46009). It is shown that a topology \(\tau\), on a vector space E, is linear iff the fuzzy topology \(\omega\) (\(\tau)\), consisting of all \(\tau\)-lower semicontinuous fuzzy sets, is linear. The fuzzy seminormed and the fuzzy normed linear spaces are introduced and some of their properties are
A K Katsaras
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On the Rigidity of Lattices of Topologies on Vector Spaces
Order, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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GROUPOIDS IN TOPOLOGICAL VECTOR SPACE
JP Journal of Geometry and Topology, 2015In this paper, a groupoid, in a sense an internal groupoid, in the category of topological vector spaces is defined and some properties of this groupoid in terms of covering morphisms are studied. It is proved that the fundamental groupoid functor gives rise to a functor from topological vector spaces to the groupoid in vector spaces.
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2013
A topological vector space X over \(\mathbb{R}\) or \(\mathbb{C}\) is a vector space, which is also a topological space, in which the vector space operations are continuous.
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A topological vector space X over \(\mathbb{R}\) or \(\mathbb{C}\) is a vector space, which is also a topological space, in which the vector space operations are continuous.
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2010
Background Topology Valuation Theory Algebra Linear Functionals Hyperplanes Measure Theory Normed Spaces Commutative Topological Groups Elementary Considerations Separation and Compactness Bases at 0 for Group Topologies Subgroups and Products Quotients S-Topologies Metrizability Completeness Completeness Function Groups Total Boundedness Compactness ...
Lawrence Narici, Edward Beckenstein
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Background Topology Valuation Theory Algebra Linear Functionals Hyperplanes Measure Theory Normed Spaces Commutative Topological Groups Elementary Considerations Separation and Compactness Bases at 0 for Group Topologies Subgroups and Products Quotients S-Topologies Metrizability Completeness Completeness Function Groups Total Boundedness Compactness ...
Lawrence Narici, Edward Beckenstein
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Journal of the London Mathematical Society, 1965
Definition 1. (a) A set E u is said to be a topological vector space (or, in short, a TVS) over a given field K, if E u as a pointset is a topological space and a vector space over K such that the mappings: $$\begin{gathered} (x,y) \to x + y, \hfill \\ (\lambda ,x) \to \lambda x \hfill \\ \end{gathered}$$ are continuous in both variables ...
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Definition 1. (a) A set E u is said to be a topological vector space (or, in short, a TVS) over a given field K, if E u as a pointset is a topological space and a vector space over K such that the mappings: $$\begin{gathered} (x,y) \to x + y, \hfill \\ (\lambda ,x) \to \lambda x \hfill \\ \end{gathered}$$ are continuous in both variables ...
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