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Proceedings of the American Mathematical Society
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A continuous decomposition of the Menger curve into pseudo-arcs

Author(s): Janusz R. Prajs
Journal: Proc. Amer. Math. Soc. 128 (2000), 2487-2491.
MSC (2000): Primary 54F15, 54F50
Posted: February 25, 2000
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Abstract | References | Similar articles | Additional information

Abstract: It is proved that the Menger universal curve $\mathcal{M}$ admits a continuous decomposition into pseudo-arcs with the quotient space homeomorphic to $\mathcal{M}$.


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Additional Information:

Janusz R. Prajs
Affiliation: Institute of Mathematics, Opole University, ul. Oleska 48, 45-052 Opole, Poland
Address at time of publication: Department of Mathematics and Statistics, Texas Tech University, Lubbock, Texas 79409-1042
Email: jrprajs@math.uni.opole.pl, prajs@math.ttu.edu

DOI: 10.1090/S0002-9939-00-05615-X
PII: S 0002-9939(00)05615-X
Keywords: Continuous decomposition, local separating point, Menger curve, pseudo-arc, quotient space
Received by editor(s): July 2, 1997
Received by editor(s) in revised form: September 11, 1998
Posted: February 25, 2000
Communicated by: Alan Dow
Copyright of article: Copyright 2000, American Mathematical Society


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