"Image of a Hausdorff Arc" is Cyclically Extensible and Reducible
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Publication:4042331
DOI10.2307/1996886zbMath0291.54039OpenAlexW4229958074MaRDI QIDQ4042331
Publication date: 1974
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1996886
Continua and generalizations (54F15) Continuous maps (54C05) Topological spaces of dimension (leq 1); curves, dendrites (54F50)
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Souslin Dendrons ⋮ A characterization of spaces that are the continuous image of an arc ⋮ Continuum theory. II ⋮ Continuous images of linearly ordered continua and compacta ⋮ Continuous images of arcs: extensions of Cornette's theorem ⋮ A locally connected rim-countable continuum which is the continuous image of no arc ⋮ Van Douwen’s problem on 0-dimensional images of ordered compacta ⋮ Continuous images of ordered compacta are regular supercompact ⋮ A cyclic element characterization of monotone normality ⋮ The Hahn-Mazurkiewicz theorem for hereditary locally connected continua ⋮ Lifting paths on quotient spaces ⋮ A Generalization of the Hahn-Mazurkiewicz Theorem ⋮ Local Cut-Points in Continuous Images of Compact Ordered Spaces ⋮ Continuous Images of Arcs
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