Algebras of Borel measurable functions

Tom 141 / 1992

Michał Morayne Fundamenta Mathematicae 141 (1992), 229-242 DOI: 10.4064/fm-141-3-229-242

Streszczenie

We determine the size levels for any function on the hyperspace of an arc as follows. Assume Z is a continuum and consider the following three conditions: 1) Z is a planar AR; 2) cut points of Z have component number two; 3) any true cyclic element of Z contains at most two cut points of Z. Then any size level for an arc satisfies 1)-3) and conversely, if Z satisfies 1)-3), then Z is a diameter level for some arc.

Autorzy

  • Michał MorayneInstitute of Mathematics
    Uniwersity of Wrocław
    Pl. Grunwaldzki 2/4
    50-384 Wrocław, Poland

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