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)
Prerequisites
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 |