SMS scnews item created by Zhou Zhang at Fri 7 Sep 2012 1450
Type: Seminar
Modified: Tue 18 Sep 2012 1629
Distribution: World
Expiry: 28 Sep 2012
Calendar1: 11 Sep 2012 1200-1300
CalLoc1: Carslaw 707A

GTA Seminar: Koike -- Sequence Selection Property and Bi-Lipschitz Homeomorphism

Speaker: Prof. Satoshi Koike (Hyogo)

Time: Tuesday, Sept. 11, 12NOON--1PM 

Room: Carslaw 707A

Lunch: after the talk (at Taste at Sydney Uni, 
i.e. "Law School Annex Cafe")


Title: Sequence Selection Property and Bi-Lipschitz Homeomorphism

Abstract: In the previous joint paper with Laurentiu Paunescu, 
we proved that the dimension of the common direction set of 
two subanalytic subsets is preserved by a bi-Lipschitz 
homeomorphism, provided that their images are also subanalytic. 
One of the main ingredients of the proof is the sequence 
selection property, denoted by (SSP) for short. This property 
is not invariant under a bi-Lipschitz homeomorphsin, but they 
are well suited. Our aim is to establish the geometry of sets 
satisfying (SSP) with bi-Lipschitz tranformations. In this 
talk we mention some fundamental results on (SSP), e.g. weak 
transversality theorem in the singular case, (SSP) structure 
preserving theorem, and so on. 


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