BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.bham.ac.uk//v3//EN
BEGIN:VEVENT
CATEGORIES:Analysis seminar
SUMMARY:Hausdorff dimension\, Borel maps and random sets -
Andras Mathe (Warwick)
DTSTART:20091104T160000Z
DTEND:20091104T170000Z
UID:TALK128AT
URL:/talk/index/128
DESCRIPTION:Is there a Borel map f: R -> R that takes all "sma
ll" sets to "large" sets? Can one increase the dim
ension of all sets by a Borel map? Are the 1/3 and
1/2-dimensional Hausdorff measures essentially th
e\nsame\, that is\, isomorphic?\n\nTo answer the a
bove questions we will consider some constructions
of random compact sets and give dimension estimat
es. We will show that Hausdorff measures of differ
ent dimensions are not Borel isomorphic\, solving
a problem of D.Preiss and B.Weiss.\n
LOCATION:Watson Building\, LRA
CONTACT:Neal Bez
END:VEVENT
END:VCALENDAR