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ArticleOriginal scientific text

Title

Algebras of Borel measurable functions

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Uniwersity of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
  2. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Abstract

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.

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm141/fm14133.pdf

Fundamenta Mathematicae
1992/141/3
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Pages:
229-242
Main language of publication
English
Received
1991-04-21
Accepted
1992-03-03
Published
1992
Exact and natural sciences