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UID:27kd3ukmginhu2644j97s4o4kf@google.com
CATEGORIES:{lang hu}Potenciálelmélet szeminárium{/lang}{lang en}Potential theory seminar{/lang}
SUMMARY:Sergei Kalmykov (FEFU): Removable sets on the complex plane
LOCATION:Bolyai Intézet, II. emelet, Haar terem, Aradi Vértanúk tere 1., Szeged
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:Abstract. We consider the subsets of metric spaces that are negligible for
the infimal length of connecting curves, such sets are called metrically re
movable. In particular, we show that every totally disconnected planar set
of finite length is metrically removable, which answers the two-dimensional
case of a question raised by Hakobyan and Herron. The metrically removable
sets are shown to be related to other classes of "thin" sets that appeared
in the literature. They are also related to the removability problems for
classes of holomorphic functions with restrictions on the derivative. (Base
d on joint research with L.V. Kovalev and T. Rajala).
DTSTAMP:20211128T115858Z
DTSTART;TZID=Europe/Budapest:20180409T190000
DTEND;TZID=Europe/Budapest:20180409T200000
SEQUENCE:0
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