Geodesic
Covering Properties of Continua and Mappings
Publications de l'Institut Mathématique, _N_S_74 (2003) no. 88, p. 115 .

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It is known that monotone mappings preserve the covering property for continua. Similar result is proved for having the covering property hereditarily. An example is constructed which shows that the two results cannot be extended to almost monotone mappings.
DOI : 10.2298/PIM0374115C
Classification : 54B20 54D40 54E40 54F15
Keywords: contunua 
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     author = {Janusz J. Charatonik},
     title = {Covering {Properties} of {Continua} and {Mappings}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {115 },
     publisher = {mathdoc},
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     number = {88},
     year = {2003},
     doi = {10.2298/PIM0374115C},
     zbl = {1085.54024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0374115C/}
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Janusz J. Charatonik. Covering Properties of Continua and Mappings. Publications de l'Institut Mathématique, _N_S_74 (2003) no. 88, p. 115 . doi : 10.2298/PIM0374115C. http://geodesic.mathdoc.fr/articles/10.2298/PIM0374115C/

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