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Course Details

 

Course Details

Course Code: MATH418 Course ID: 4546 Credit Hours: 3 Level: Undergraduate

Topics include definition of a topology, closed sets, relativizations, base and sub-bases of a topology, compact topological spaces, separation axioms, normal spaces, regular spaces, metric spaces, continuous mappings, product spaces, and function spaces. (Prerequisite: MATH305)

Course Schedule

Registration Dates Course Dates Start Month Session Weeks
03/29/2022 - 09/02/2022 09/05/2022 - 10/30/2022 September Summer 2022 Session D 8 Week session
06/28/2022 - 12/02/2022 12/05/2022 - 01/29/2023 December Fall 2022 Session D 8 Week session

Current Syllabi

After successfully completing this course, you will be able to

CO-1 Determine whether a collection of subsets of a set is a topology and determine a basis for a topology.
CO-2 Use homeomorphisms and show two spaces are topologically equivalent.
CO-3 Explain and proof the basic properties of compactness and of connectedness.
CO-4 Determine if a topological space is a metric space and generate a topology from a metric.
CO-5 Use the subspace topology, the product topology, and the quotient topology.
CO-6 Explain and proof basic separation axioms and properties of Hausdorff spaces.

After successfully completing this course, you will be able to

CO-1 Determine whether a collection of subsets of a set is a topology and determine a basis for a topology.
CO-2 Use homeomorphisms and show two spaces are topologically equivalent.
CO-3 Explain and proof the basic properties of compactness and of connectedness.
CO-4 Determine if a topological space is a metric space and generate a topology from a metric.
CO-5 Use the subspace topology, the product topology, and the quotient topology.
CO-6 Explain and proof basic separation axioms and properties of Hausdorff spaces.

Book Title:Principles of Topology - e-book available in the APUS Online Library
ISBN:9780486801544
Publication Info:Dover Lib
Author:Croom, Fred
Unit Cost:$19.95
 

Previous Syllabi

Not current for future courses.