**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

### Geometry & Topology

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

### Satoshi Koike (Hyogo)

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

Please join us for lunch after the talk!

**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.