A characterization of spaces that are the continuous image of an arc

DOI10.1016/0166-8641(86)90066-0zbMath0604.54030OpenAlexW1983260599MaRDI QIDQ1083061

L. B. Treybig

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0166-8641(86)90066-0

zbMATH Keywords

arclocal connectivitycontinuous imagescompact ordered spaceHahn-Mazurkiewicz theoremupper semi-continuous decomposition

Mathematics Subject Classification ID

Continua and generalizations (54F15) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05)

Related Items (10)

Continuum theory. II ⋮ Continuous images of linearly ordered continua and compacta ⋮ Mary Ellen Rudin and monotone normality ⋮ Continuous images of arcs: extensions of Cornette's theorem ⋮ Unnamed Item ⋮ Characterizing continuity by preserving compactness and connectedness. ⋮ A cyclic element characterization of monotone normality ⋮ The Hahn-Mazurkiewicz theorem for hereditary locally connected continua ⋮ Lifting paths on quotient spaces ⋮ Unnamed Item

Cites Work

• Metric components of continuous images of ordered compacta
• Concerning continua which are continuous images of compact ordered spaces
• Images of ordered compacta are locally peripherally metric
• "Image of a Hausdorff Arc" is Cyclically Extensible and Reducible
• Mapping an arc onto a dendritic continuum
• A Generalization of the Hahn-Mazurkiewicz Theorem
• Mapping arcs and dendritic spaces onto netlike continua
• The Hahn-Mazurkiewicz theorem for rim-finite continua
• Another Locally Connected Hausdorff Continuum not Connected by Ordered Continua
• Shorter Notes: Representations of Banach Spaces
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