Results 121 to 130 of about 9,625 (154)
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NONSTANDARD PROOFS OF STANDARD THEOREMS IN ANALYSIS AND TOPOLOGY
2023Source: Masters Abstracts International, Volume: 08-02, page: 8000.
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Nonstandard topology and extensions of monad systems to infinite points
Journal of Symbolic Logic, 1971Intuitively, a topological space is a set together with some notion of “nearness”. Classically, this notion of nearness is usually described by a collection of open sets. With the development of Non-standard analysis by Abraham Robinson [11], we have an alternative way to describe this notion. If X is any set and *X is a nonstandard extension of X then
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A nonstandard density theorem for weak topologies on Banach and Bochner spaces
Mathematical Logic Quarterly, 2003AbstractWe prove a nonstandard density result. It asserts that if a particular formula is true for functions in a set K of linear continuous functions between Banach spaces E and D, then it remains valid for functions that are limits, in the uniform convergence topology on a given class ℳ︁ of subsets of E, of nets of vectors in K.
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Exceptional topology of non-Hermitian systems
Reviews of Modern Physics, 2021Emil J Bergholtz +2 more
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Monadic Characterizations in Nonstandard Topology
Mathematical Logic Quarterly, 1980openaire +2 more sources
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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Erratum to "The Nonstandard Theory of Topological Vector Spaces"
Transactions of the American Mathematical Society, 1973Henson, C. Ward, Moore, L. C. jun.
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Vitrimers: Permanently crosslinked polymers with dynamic network topology
Progress in Polymer Science, 2020Nathan J Van Zee, Renaud Nicolaÿ
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