Random selection of Borel sets

Bernd Günther

doi:10.4995/agt.2010.1713

Authors

Bernd Günther DB Systel GmbH, Development Center Databases

DOI:

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

Keywords:

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

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.

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