Random selection of Borel sets

Bernd Günther

doi:10.4995/agt.2010.1713

Random selection of Borel sets

Bernd Günther

DOI: https://doi.org/10.4995/agt.2010.1713

Abstract

A theory of random Borel sets is presented, based on dyadic resolutions of compact metric spaces. The conditional expectation of the intersection of two independent random Borel sets is investigated. An example based on an embedding of Sierpinski’s universal curve into the space of Borel sets is given.

Keywords

Random Borel sets; Dyadic spaces;, Sierpinski’s universal curve

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