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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A continuous decomposition
of the Menger curve into pseudo-arcs


Author: Janusz R. Prajs
Journal: Proc. Amer. Math. Soc. 128 (2000), 2487-2491
MSC (2000): Primary 54F15, 54F50
Published electronically: February 25, 2000
MathSciNet review: 1707009
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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: http://dx.doi.org/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
Published electronically: February 25, 2000
Communicated by: Alan Dow
Article copyright: © Copyright 2000 American Mathematical Society