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CATEGORIES:Analysis seminar
SUMMARY:Zero sets of real analytic functions and the fine
topology - Myrto Manolaki (University College Dubl
in\, Ireland)
DTSTART:20151102T160000Z
DTEND:20151102T170000Z
UID:TALK1879AT
URL:/talk/index/1879
DESCRIPTION:In this talk we will discuss some results concerni
ng the zero sets of real analytic functions on ope
n sets in R^n^. We will consider the related notio
n of analytic uniqueness sequences and\, as an app
lication\, we will show that the zero set of every
non-constant real analytic function on a domain h
as always empty interior with respect to the fine
topology (which strictly contains the Euclidean on
e). Further\, we will see that for a certain categ
ory of sets E (containing the finely open sets)\,
a function is real analytic on some open neighbour
hood of E if and only if it is real analytic "at e
ach point" of E. (Joint work with AndrĂ© Boivin and
Paul Gauthier.)
LOCATION:Lecture Theatre 4\, Strathcona Building
CONTACT:Alessio Martini
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