MTH 491 /591 - Introduction to Topology

Institution:

Miami University-Hamilton

Subject:

Description:

Elementary set theory and cardinality, metric spaces and topological spaces, sequence convergence, complete metric spaces, Baire Category Theorem, continuity, uniform continuity, bases for a topological space, first and second countability, relationships among separable, Lindelof and second countable properties, product topology, separation axioms, Urysohn's Lemma, Tietze Extension Theorem, compactness, characterizations of compactness in metric spaces, Tychonoff Theorem, local compactness, connectedness. Prerequisite: MTH 222 and Calculus III.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.regionals.muohio.edu

Phone Number:

(513) 785-3000

Regional Accreditation:

North Central Association of Colleges and Schools

Calendar System:

Semester

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