Functions for which all points are local extrema

DOI10.14321/realanalexch.33.2.0467zbMath1170.26002OpenAlexW1496593792MaRDI QIDQ2520033

Ehrhard Behrends, Tomasz Natkaniec, Stefan Geschke

Publication date: 28 January 2009

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14321/realanalexch.33.2.0467

zbMATH Keywords

metric spacecontinuous functionseparable spacelocal extremum

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Real-valued functions in general topology (54C30)

Related Items (7)

Strong extrema of functions on quasi-metric and compact spaces ⋮ On metric spaces and local extrema ⋮ A variational approach of the rank function ⋮ Local Extrema and Nonopenness Points of Continuous Functions ⋮ An illustrative example of complete connected space with a continuous function having an extremum at every point ⋮ Non-isolated, non-strictly monotone points of iterates of continuous functions ⋮ The structure of the set of local minima of functions in various spaces

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