Analysis II (Topics from Analysis)
MATH 516
Spring 2011
| Section:
01
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| This course may be repeated for credit. |
This course will be an introduction to descriptive set theory, which is the study of definable sets in Polish spaces. We will develop the basic theory of the Borel and projective hierarchies in Polish spaces, with emphasis on regularity properties of the real line, including questions of measurability, category, cardinality, and determinacy. Our treatment will be classical, which means we will stop short of the point where effective techniques and forcing come into the picture, though we will not hesitate to state independence results and thereby confront the limits of what can be done in ZFC. The only prerequisites will be familiarity with basic point-set topology and measure theory. |
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Essential Capabilities:
None |
| Credit: 1 |
Gen Ed Area Dept:
None |
| Course Format: Lecture | Grading Mode: Graded |
| Level: GRAD |
Prerequisites: MATH513 |
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Fulfills a Requirement for: (MATH) |
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Past Enrollment Probability: Not Available |
| SECTION 01 |
Major Readings: Wesleyan RJ Julia Bookstore
Suggested References:
Srivastava, A COURSE IN BOREL SETS, GRADUATE TEXTS IN MATHEMATICS, VOL. 180
ISBN: 978-0387984124
Kechris, CLASSICAL DESCRIPTIVE SET THEORY, GRADUATE TEXTS IN MATHEMATICS, VOL. 156
ISBN: 978-0387943749
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Examinations and Assignments:
To be announced |
Additional Requirements and/or Comments:
Students should already have taken MATH513 and MATH514.
Undergraduates may take this course up to two times for a letter grade and up to four times for credit towards graduation. |
| Instructor(s): Schneider,Scott Times: ..T.R.. 02:40PM-04:00PM; Location: SCIE638; |
| Total Enrollment Limit: 16 | | SR major: 2 | JR major: 0 | | |
| Seats Available: 9 | GRAD: 14 | SR non-major: 0 | JR non-major: 0 | SO: 0 | FR: 0 |
| Drop/Add Enrollment Requests | | | | | |
| Total Submitted Requests: 0 | 1st Ranked: 0 | 2nd Ranked: 0 | 3rd Ranked: 0 | 4th Ranked: 0 | Unranked: 0 |
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