MATH 442
Introduction to Descriptive Set Theory Fall 2022
Division III Quantative/Formal Reasoning

Class Details

Descriptive set theory (DST) combines techniques from analysis, topology, set theory, combinatorics, and other areas of mathematics to study definable (typically Borel) subsets of Polish spaces. The first part of this course will cover the topics necessary to understand the main objects of study in DST: we will develop comfort with point-set topology (enough to juggle with Polish spaces and Borel sets), and set theory (just well-orderings and cardinality). The second part of the course will feature selected topics in descriptive set theory: for example, trees, the perfect set property, Baire category, and infinite games.
The Class: Format: lecture
Limit: 14
Expected: 14
Class#: 1473
Grading: yes pass/fail option, yes fifth course option
Requirements/Evaluation: Evaluation based on homework, exams, and classroom participation.
Prerequisites: Math 250 - Linear Algebra, Math 350/351 Real Analysis/Applied Real Analysis
Enrollment Preferences: Senior Math Majors, then non-Senior Math Majors
Distributions: Division III Quantative/Formal Reasoning
QFR Notes: Mathematics course in descriptive set theory.

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