An illustrative example of complete connected space with a continuous function having an extremum at every point

DOI10.1016/J.TOPOL.2020.107482zbMath1455.54014OpenAlexW3109149104MaRDI QIDQ2219279

K. V. Storozhuk

Publication date: 19 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107482

zbMATH Keywords

metric spacesextrema

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Special maps on metric spaces (54E40) Counterexamples in general topology (54G20) Real-valued functions in general topology (54C30)

Cites Work

• On metric spaces and local extrema
• Functions for which all points are local extrema

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