SMS scnews item created by Stephan Tillmann at Mon 12 Oct 2015 1533
Type: Seminar
Distribution: World
Expiry: 11 Jan 2016
Calendar1: 14 Oct 2015 1100-1200
CalLoc1: Carslaw 535A
Auth: tillmann@externalmail.mfo.de (stillmann) in SMS-WASM

# Relative Kuo’s condition and Thom’s type inequality

### Satoshi Koike (Hyogo)

Wednesday 14 October 2015 from 11:00–12:00 in Carslaw 535A

Abstract: In a previous joint paper with Karim Bekka, we discussed the relationship between the Kuo condition and Thom's type inequality, and showed that they are equivalent. These conditions are equivalent to $$C^0$$-sufficiency of jets in the function case, and $$v$$-sufficiency of jets in the mapping case. They are local notions at a given point, e.g. $$0 \in \mathbb{R}^n$$.  In this talk we discuss the relative notions to a given closed subset $$\Sigma$$ containing $$0 \in \mathbb{R}^n$$. This is also a joint work with K. Bekka.