More:
Events
A Colloquium in Mathematics , The P-hierarchy of ultrafilters
The Faculty of Sciences, A Colloquium in Mathematics:
The P-hierarchy of ultrafilters
Dr. Michael Machura, Bar-Ilan University
Sunday, 2 November 2014 | 15:00 | Science Building (8), Room 424
Abstract:
On the talk, we shall present a P-hierarchy of ultrafilters, that was invited by Andrzej Starosolski.
The P-hierarchy of ultrafilters is one of many ways to classify ultrafilters on natural numbers and it is composed of $\aleph_1$ disjoint classes $P_{\alpha}$ where $\alpha$ is ordinal number $<\omega_1$. The class $P_1$ is just a class of principal ultrafilters.
The P-hierarchy of ultrafilters is one of many ways to classify ultrafilters on natural numbers and it is composed of $\aleph_1$ disjoint classes $P_{\alpha}$ where $\alpha$ is ordinal number $<\omega_1$. The class $P_1$ is just a class of principal ultrafilters.
The class $P_2$ is composed of P-points, which were defined by Rudin in order to prove non-homogenity of the remainder of Cech-Stone compactification of natural numbers. Next, in higher classes of P-hierarchy, one can find ultrafilters with more and more complicated structures. On the talk we will disscuss relations between classes $P_{\alpha}$ of P-hierarchy and other special types of ultrafilters like: Baumgartner's I-ultrafilters, thin ultrafilters, summable ultrafilters, van der Waerden ultrafilters.
For further information: David Garber, Department of Applied Mathematics, Faculty of Sciences, Holon Institute of Technology
For further information: David Garber, Department of Applied Mathematics, Faculty of Sciences, Holon Institute of Technology
Tel: +972-3-5026737| Fax: +972-3-5026737| E-mail: garber@hit.ac.il
Additional programs
- News & Events
International Week of Interdisciplinary Studies and Academic Collaborations in Crete
A substantial delegation of 16 students and four faculty members from HIT Holon Institute of Technology participated in week-long international activities and events at HMU-Hellenic Mediterranean University in Crete. ...