שלחו לחבר

Characterizing sigma-scattered linear orders, part 1

Seminar
Speaker
William Chen (BGU)
Date
19/01/2017 - 12:00 - 10:00
Place
seminar room
Abstract

This is an expository presentation following the paper "Minimality of non $\sigma$-scattered orders" by Ishiu and Moore. In the first part of the talk we will introduce the invariant $\Omega(L)$ of a linear order $L$, and characterize $\sigma$-scattered linear orders in terms of this invariant. In the second part, we will prove under the forcing axiom $\mathsf{PFA}^+$ that any linear order which is minimal with respect to embedding among the non $\sigma$-scattered orders must be either a real or Aronszajn type.

תאריך עדכון אחרון : 28/10/2019