Topology II: Two Topics in Lattice-Ordered Groups and Rings of Continuous Functions
MATH 526
Spring 2007
| Section:
01
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| This course may be repeated for credit. |
The material generalizes what goes on with or within the classical C(X) (all real-valued continuous functions on the topological space X. (1) Uniform convergence of three kinds:ordinary uniform (ancient),relative uniform (c.1905,introduced in the theory of differential equations),indicated uniform (quite recent).
Density Theorems (Stone-Weierstrass type) and completion for each.(2)The category of l-groups of real-valued continuous functions. Examination of notions such as epimorphism,essential extension,reflection,etc. |
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Essential Capabilities:
Quantitative Reasoning |
| Credit: 1 |
Gen Ed Area Dept:
None |
| Course Format: Lecture | Grading Mode: Graded |
| Level: GRAD |
Prerequisites: None |
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Fulfills a Major Requirement for: (MATH) |
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Past Enrollment Probability: Not Available |
| SECTION 01 |
Major Readings: Wesleyan RJ Julia Bookstore
E. Hewitt and K.A. Ross, ABSTRACT HARMONIC ANALYSIS, Vol. 1, Springer-Verlag, Heidelberg, 1963.
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Additional Requirements and/or Comments:
Undergraduates may take this course up to two times for a letter grade and up to four times for credit towards graduation. |
| Instructor(s): Hager,Anthony W. Times: ..T.R.. 02:40PM-04:00PM; Location: SCIE618; |
| Total Enrollment Limit: 15 | | SR major: 0 | JR major: 0 | | |
| Seats Available: 9 | GRAD: 15 | 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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