Continuous images of arcs: extensions of Cornette's theorem

DOI10.1016/j.topol.2015.09.030zbMath1330.54038OpenAlexW2189687623MaRDI QIDQ890058

N. E. Zubov

Publication date: 9 November 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.09.030

zbMATH Keywords

cyclic elementlocally connectedimages of arcsnull family

Mathematics Subject Classification ID

Continua and generalizations (54F15) Continuous maps (54C05) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological spaces of dimension (leq 1); curves, dendrites (54F50)

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Cites Work

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• Continuous images of linearly ordered continua and compacta
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• A characterization of spaces that are the continuous image of an arc
• A locally connected rim-countable continuum which is the continuous image of no arc
• The Hahn-Mazurkiewicz theorem for hereditary locally connected continua
• Characterizing local connectedness in inverse limits
• Images of arcs - a nonseparable version of the Hahn-Mazurkiewicz theorem
• "Image of a Hausdorff Arc" is Cyclically Extensible and Reducible
• A Generalization of the Hahn-Mazurkiewicz Theorem
• Mapping arcs and dendritic spaces onto netlike continua
• Cyclic Element Theory in Connected and Locally Connected Hausdorff Spaces
• Cyclic Elements in Topology, A History

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