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A continuous decomposition of the Menger curve into pseudo-arcs
Authors:Janusz R. Prajs
Affiliation:Institute of Mathematics, Opole University, ul. Oleska 48, 45-052 Opole, Poland
Abstract:
It is proved that the Menger universal curve $mathcal{M}$ admits a continuous decomposition into pseudo-arcs with the quotient space homeomorphic to $mathcal{M}$.

Keywords:Continuous decomposition   local separating point   Menger curve   pseudo-arc   quotient space
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