Avoiding rational distances
Seminar
Speaker
Ashutosh Kumar (HUJI)
Date
16/11/2014 - 10:15Add to Calendar
2014-11-16 10:15:00
2014-11-16 10:15:00
Avoiding rational distances
Komjath has asked the following question: Let X be a subset of Euclidean space. Must there exist a subset Y of X such that X and Y have same outer measure and the distance between any two points in Y is irrational?
We'll show that this is true in dimension one. Our proof relies on some work of Gitik and Shelah on forcings with sigma ideals.
Bibliography
אוניברסיטת בר-אילן - המחלקה למתמטיקה
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Abstract
Komjath has asked the following question: Let X be a subset of Euclidean space. Must there exist a subset Y of X such that X and Y have same outer measure and the distance between any two points in Y is irrational?
We'll show that this is true in dimension one. Our proof relies on some work of Gitik and Shelah on forcings with sigma ideals.
תאריך עדכון אחרון : 12/11/2014
