MATH242

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MATH242

Topology MATH242 FA

Next Offered in 9899 SP

Set Theory: "Definition" of the cardinal sum, product, and , exponentiation; the Schroder-Bernstein theorem; some of Cantor's theorems (e.g., |Q| < |R|, |A| < |P(A)|; the continuum problem. Metric space topology: Definitions, compactness criteria, completion; applications. Beyond metric spaces: If time permits and there is student demand.

MAJOR READINGS

The textbook - Set theory and metric spaces
by I. Kaplansky. Allyn & Bacon-most recent edition.

EXAMINATIONS AND ASSIGNMENTS

One hour exam, one three-hour final examination, 8-10 homework assignments.

ADDITIONAL REQUIREMENTS and/or COMMENTS

Criteria for admission to course: Successful completion of MATH222 or the equivalent is desirable, though not mandatory if other credentials are in order.

COURSE FORMAT: Discussion Lecture

REGISTRATION INFORMATION

Level: UG Credit: 1.00 Gen Ed Area & Dept: NSM MATH

Prerequisites: None

Last Updated on MAR-03-1998

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