Geodesic
Algebras of Borel measurable functions
Michał Morayne1
1Institute of Mathematics Uniwersity of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Fundamenta Mathematicae, Tome 141 (1992) no. 3, pp. 229-242

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DOI

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.
DOI : 10.4064/fm-141-3-229-242

Michał Morayne  1

1 Institute of Mathematics Uniwersity of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 
Michał Morayne. Algebras of Borel measurable functions. Fundamenta Mathematicae, Tome 141 (1992) no. 3, pp. 229-242. doi: 10.4064/fm-141-3-229-242
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