Acta Mathematica Hungarica

, Volume 102, Issue 1, pp 37–84

On the Hahn--Mazurkiewicz theorem

  • Mátyás Bognár

DOI: 10.1023/B:AMHU.0000023208.49494.96

Cite this article as:
Bognár, M. Acta Mathematica Hungarica (2004) 102: 37. doi:10.1023/B:AMHU.0000023208.49494.96


The following generalization of the Hahn-Mazurkiewicz theorem is proved: Let (E,e) be a locally compact locally connected metric space. Let M be a continuum in this space and let d,e∈ M. Then there is a continuous mapping f: [0,1]→E such that f(0) = d, f(1)= e and M⊂f([0,1]). Also some corollaries of this theorem are proved.

connected spacelocallylocally compact spacecontinuous mappings

Copyright information

© Kluwer Academic Publisher/Akadémiai Kiadó 2004

Authors and Affiliations

  • Mátyás Bognár
    • 1
  1. 1.Department of AnalysisEötvös Loránd UniversityBudapestHungary