EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 74(88), pp. 115–120 (2003)

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COVERING PROPERTIES OF CONTINUA AND MAPPINGS

Janusz J. Charatonik

Mathematical Institute, University of Wroclaw, 50-384 Wroclaw, Poland

Abstract: 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.

Classification (MSC2000): 54B20; 54D40; 54E40; 54F15

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