Mathematics 5140 - Set Theory and Metric Spaces

Institution:

University of Missouri-St Louis

Subject:

Description:

Prerequisites: MATH 4100 or consent of instructor. Na?ve set theory, cardinal arithmetic, ordinal numbers, the axiom of choice and equivalents, metric spaces, convergence, continuity, compactness, contraction principles and applications.? Construction of completions and examples like the real numbers and p-adic numbers.? Other topics could include the Stone-Weierstrass theorem and metrizability theorems.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.umsl.edu/

Phone Number:

(314) 516-5000

Regional Accreditation:

North Central Association of Colleges and Schools

Calendar System:

Semester

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