Algebras of Borel measurable functions
Morayne, Michał
Fundamenta Mathematicae, Tome 141 (1992), p. 229-242 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:211962 
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     title = {Algebras of Borel measurable functions},
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     volume = {141},
     year = {1992},
     pages = {229-242},
     zbl = {0812.26004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv141i3p229bwm}
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Morayne, Michał. Algebras of Borel measurable functions. Fundamenta Mathematicae, Tome 141 (1992) pp. 229-242. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv141i3p229bwm/

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