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Title: On open light mappings (English)
Author: Makuchowski, Władysław
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 35
Issue: 4
Year: 1994
Pages: 779-788
Category: math
Summary: Whyburn has proved that each open mapping defined on arc (a simple closed curve) is light. Charatonik and Omiljanowski have proved that each open mapping defined on a local dendrite is light. Theorem 3.8 is an extension of these results. (English)
Keyword: continuum
Keyword: locally connected
Keyword: open
Keyword: light
Keyword: fan
Keyword: order
Keyword: component number
MSC: 54C10
MSC: 54F50
idZBL: Zbl 0830.54014
idMR: MR1321248
Date available: 2009-01-08T18:15:07Z
Last updated: 2012-04-30
Stable URL:
Reference: [1] Charatonik J.J., Charatonik W.J., Miklos S.: Confluent mappings of fans.Dissertationes Math. (Rozprawy Mat.) 301 (1990), 1-86. Zbl 0776.54025, MR 1055706
Reference: [2] Charatonik J.J., Omiljanowski K.: On light open mappings.Baku International Topological Conference Proceedings, Baku, 1989, pp. 211-219. Zbl 0817.54010, MR 1347226
Reference: [3] Kuratowski K.: Topology.vol. 2, Academic Press and PWN, 1968. Zbl 0849.01044, MR 0259836
Reference: [4] Maćkowiak T.: Continuous mappings on continua.Dissertationes Math. (Rozprawy Mat.) 158 (1979), 1-91. MR 0522934
Reference: [5] Menger K.: Kurventheorie.Chelsea Publ. Comp., 1967. Zbl 0005.41504, MR 0221475
Reference: [6] Whyburn G.T.: Analytic topology.Amer. Math. Soc. Colloq. Publ., vol. 28, 1942. Zbl 0117.15804, MR 0007095


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