On metric spaces and local extrema

DOI10.1016/j.topol.2009.04.023zbMath1173.54006OpenAlexW2018034960MaRDI QIDQ837627

Attilio Le Donne, Alessandro Fedeli

Publication date: 20 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.04.023

zbMATH Keywords

metric spaceslocal extremareal-valued functions

Mathematics Subject Classification ID

Special maps on metric spaces (54E40) Counterexamples in general topology (54G20) Real-valued functions in general topology (54C30)

Related Items (4)

Strong extrema of functions on quasi-metric and compact spaces ⋮ 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 ⋮ On the set of local extrema of a subanalytic function

Cites Work

• Unnamed Item
• Functions for which all points are local extrema
• Set Theoretic Real Analysis

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