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Real functions as traces of infinite polynomials

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Publication:1117050
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DOI10.1007/BF01443505zbMath0666.26012OpenAlexW2000309308MaRDI QIDQ1117050

Chris Impens

Publication date: 1989

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164540


zbMATH Keywords

hyperreal polynomialsmicrocontinuityobservable traces of nonstandard polynomialsReal functions


Mathematics Subject Classification ID

Nonstandard analysis (26E35)


Related Items (3)

Discontinuous extension of continuous real-valued functions ⋮ Standard and nonstandard polynomial approximation ⋮ Discontinuous extensions and almost resolvability



Cites Work

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  • Local microcontinuity of nonstandard polynomials
  • Propagation of microcontinuity for nonstandard polynomials
  • Enumeration of non-separable graphs




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