Local Extrema and Nonopenness Points of Continuous Functions

DOI10.4169/amer.math.monthly.124.5.436zbMath1391.26012OpenAlexW2606304230WikidataQ58119387 ScholiaQ58119387MaRDI QIDQ4575263

Michał Popławski, Julia Wódka, Marek Balcerzak

Publication date: 13 July 2018

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.124.5.436

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) One-variable calculus (26A06)

Related Items (4)

Strong extrema of functions on quasi-metric and compact spaces ⋮ On the set of local extrema of a subanalytic function ⋮ Non-isolated, non-strictly monotone points of iterates of continuous functions ⋮ The structure of the set of local minima of functions in various spaces

Cites Work

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• On metric spaces and local extrema
• Functions with preassigned local maximum points
• On strict local extrema of differentiable functions
• Many continuous functions have many proper local extrema
• Points of openness and closedness of some mappings
• Functions for which all points are local extrema
• Functions with a Proper Local Maximum in Each Interval
• Open Discontinuous Maps From ℝ^<em>n</em> onto ℝ^<em>n</em>
• Continuous Functions with a Dense Set of Proper Local Maxima
• Comparison of some families of real functions in porosity terms

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