A Galois connection related to restrictions of continuous real functions

DOI10.1016/j.topol.2019.07.007zbMath1431.54011arXiv1810.01100OpenAlexW2963517106WikidataQ127471177 ScholiaQ127471177MaRDI QIDQ2324525

Peter Eliaš

Publication date: 11 September 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.01100

zbMATH Keywords

continuityGalois connectioncomplete latticerestrictionreal function

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Algebraic properties of function spaces in general topology (54C40) Foundations: limits and generalizations, elementary topology of the line (26A03)

Cites Work

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• Galois connections between generating systems of sets and sequences
• A natural Galois connection between generalized norms and metrics
• Some results on Kronecker, Dirichlet and Helson sets
• Combinatorial Cardinal Characteristics of the Continuum

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