University of Birmingham > Talks@bham > Analysis seminar > Hausdorff dimension, Borel maps and random sets

Hausdorff dimension, Borel maps and random sets

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Neal Bez.

Is there a Borel map f: R → R that takes all “small” sets to “large” sets? Can one increase the dimension of all sets by a Borel map? Are the 1/3 and 1/2-dimensional Hausdorff measures essentially the same, that is, isomorphic?

To answer the above questions we will consider some constructions of random compact sets and give dimension estimates. We will show that Hausdorff measures of different dimensions are not Borel isomorphic, solving a problem of D.Preiss and B.Weiss.

This talk is part of the Analysis seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

Talks@bham, University of Birmingham. Contact Us | Help and Documentation | Privacy and Publicity.
talks@bham is based on talks.cam from the University of Cambridge.