BK21 PLUS 타이거 세미나
( 2016.12.29 목 )
발표자:정준영
제
목 : Covering Theorem on the quasi-metric space.
내
용 : In mathematics , Vitali covering theorem is an
important theorem that can be applied in various fields
such as PDE and analysis. In particular, it can be used to
prove the Lebesgue differential theorem, which commonly
used in analysis. We have already proved that Vitali
covering theorem is established under Euclidean space.
In this presentation, I will prove that this theorem is true
also in the quasi-metric space. To do this, i first introduce
the definition of quasi-metric space and some of the
property of it.
DEPARTMENT OF MATHEMATICS
KOREA UNIVERSITY
145 Anam-ro, Seongbuk-gu, Seoul 02841, Korea
Tel. +82-2-3290-4744 Fax. +82-2-929-8562