Continous measure-preserving maps onto Peano spaces
نویسندگان
چکیده
منابع مشابه
A Note on Peano Spaces
In three-dimensional space set up a cylindrical coordinate system (r, $, z). The Hahn-Mazurkiewicz theorem characterizes Peano spaces (locally connected metric (compact) continua) as the continuous images of the closed unit interval I on the z-axis. In this note we obtain an extension theorem for Peano spaces (henceforth called Pspaces) based upon this characterization. We first define a dendri...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1975
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1975.58.627