2025 Summer Undergraduate Research Program (SURP) symposium
Location
Dr. Ken Budke Family Auditorium, Schindler Education Center, University of Nothern Iowa
Presentation Type
Open Access Poster Presentation
Document Type
poster
Abstract
The first uncountable ordinal is ω1. Here, we will describe the process for partitioning ω1 into countably many disjoint stationary (stat) sets. We first partition ω1 into 2 disjoint stat sets, and then describe the process for continuing to partition ω1 into infinitely many disjoint stat sets.
Start Date
1-8-2025 11:00 AM
End Date
1-8-2025 1:30 PM
Event Host
Summer Undergraduate Research Program, University of Northern Iowa
Faculty Advisor
Adrienne Stanley
Department
Department of Mathematics
Copyright
©2025 Jordan Mills
File Format
application/pdf
Recommended Citation
Mills, Jordan, "Building Countably Many Disjoint Stat Sets in ω1" (2025). Summer Undergraduate Research Program (SURP) Symposium. 7.
https://scholarworks.uni.edu/surp/2025/all/7
Building Countably Many Disjoint Stat Sets in ω1
Dr. Ken Budke Family Auditorium, Schindler Education Center, University of Nothern Iowa
The first uncountable ordinal is ω1. Here, we will describe the process for partitioning ω1 into countably many disjoint stationary (stat) sets. We first partition ω1 into 2 disjoint stat sets, and then describe the process for continuing to partition ω1 into infinitely many disjoint stat sets.
