A continuous decomposition of the Menger curve into pseudo-arcs
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- by Janusz R. Prajs PDF
- Proc. Amer. Math. Soc. 128 (2000), 2487-2491 Request permission
Abstract:
It is proved that the Menger universal curve $\mathcal {M}$ admits a continuous decomposition into pseudo-arcs with the quotient space homeomorphic to $\mathcal {M}$.References
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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
- 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
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2487-2491
- MSC (2000): Primary 54F15, 54F50
- DOI: https://doi.org/10.1090/S0002-9939-00-05615-X
- MathSciNet review: 1707009