Blume

Seminar
Infinite Games and Regular Sets
Sommersemester 2016

Universit├Ątssiegel
Mathematisches Institut Abteilung f├╝r Math. Logik

Die ist die Homepage des Seminars "Infinite games and regular sets" im Sommersemester 2016.


Dozent: Giorgio Laguzzi

Ort und Zeit

Mi, 14 - 16, SR 318, Eckerstr. 1.

Vorbesprechung

Do, 11.2.2016, 14 Uhr, Raum 311, Eckerstrasse 1

Teilnehmerliste

bei Frau Samek, Raum 312, bis zum 5.2.2016

Kommentar

Game Theory deals with games of ``finite dimension''. In Descriptive Set Theory one extends such a study to infinite games, i.e., games where the competition between two players runs infinitely many steps. The study of this kind of games is very useful in topology and measure theory, since the existence of winning strategies is strictly connected with the existence of regular sets. Moreover, many other tools from set theory can be used for a deep understanding of the subsets of the real line and more generally of Polish spaces. This seminar is intended to go into the study of this kind of questions, and it is meant to show a bridge from topology and measure theory on the one side, and set theory on the other side.

Literatur

  1. A. Kanamori, The Higher Infinite, Springer (1994).
  2. T. Bartoszynski, H. Judah, Set Theory-On the structure of the real line, AK Peters Wellesley (1999).
  3. A. Levy, Basic Set Theory, Springer (1979).
  4. A. Kechris, Classical Descriptive Set Theory, Springer (1995)
  5. J. Brendle, B. Loewe, Solovay-Type characterizations for Forcing-Algebra, Journal of Simbolic Logic, Vol. 64 (1999), pp. 1307-1323.

Program

Here you find the weekly program of the seminar.