Seminar Details
Combinatorial Characteristics of the Continuum
- Start Date: November 6, 2024
- Event Start Time: 12:15 PM
- Event End Time: 1:15 PM
- Seminar Series: Graduate Combinatorics Seminar
- Presenter(s): Ben-zion Weltsch - Rutgers University
- Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
- Event Additional Info: <p>See: <a href="https://sites.math.rutgers.edu/~kmg326/GCS/GCS.html">https://sites.math.rutgers.edu/~kmg326/GCS/GCS.html</a></p>
- Presentation Type: Stand Alone Presentation
- Abstract:
In infinitary combinatorics it is often natural to generalize problems from finite combinatorics to the space of natural numbers, a countable set. We will go up another step and look at combinatorics on the real line. A combinatorial characteristic of the continuum is an uncountable cardinal between the first uncountable cardinal the continuum that describes a combinatorial or analytical property of the continuum. In contexts where the continuum hypothesis fails, these characteristics give a means of understanding the structure of “small” uncountable cardinalities.
I will also give a brief primer on any necessary set-theoretic preliminaries (of which there are few).