MATH 442
Introduction to Descriptive Set Theory
Fall 2022
Division III
Q Quantitative/Formal Reasoning
This is not the current course catalog
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
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:
Divison III
Quantitative/Formal Reasoning
QFR Notes:
Mathematics course in descriptive set theory.
Class Grid
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HEADERS
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CLASSESColumn header 2DREQColumn header 3INSTRUCTORSColumn header 4TIMESColumn header 5CLASS#
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MATH 442 - 01 (F) LEC Intro Descriptive Set Theory
MATH 442 - 01 (F) LEC Intro Descriptive Set TheoryDivision III Q Quantitative/Formal ReasoningMWF 11:00 am - 11:50 am
Wachenheim 0021473