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Viewing: MATH 3806 : Introduction to Topology

Last approved: Mon, 15 May 2017 08:03:48 GMT

Last edit: Fri, 05 May 2017 17:34:51 GMT

Catalog Pages referencing this course
Columbian College of Arts and Sciences
Mathematics (MATH)
MATH
3806
Introduction to Topology
Introduction to Topology
Fall 2017
3
Course Type
Lecture
Default Grading Method
Letter Grade

No
No
MATH 2971
Corequisites

60

Frequency of Offering

Term(s) Offered

Are there Course Equivalents?
No
 
No
Fee Type


No


Metric spaces: completeness, compactness, continuity. Topological spaces: continuity, bases, subbases, separation axioms, compactness, local compactness, connectedness, product and quotient spaces.
At the end of this course students should be able to:
1. Understand the definition of topology and continuity;
2. Know several basic constructions of topologies and basic properties of the topologies resulted from these constructions;
3. Understand connectedness and compactness of topological spaces and certain theorems related to these concepts;
4. Understand the basic theories of fundamental group, covering space;
5. Compute the fundamental groups of certain topological spaces and apply fundamental group and covering space in topology and related fields.

Course Attribute
CCAS - GCR: Q & L
Updated/weekly schedule and course description
candaceg (Sun, 19 Feb 2017 01:03:32 GMT): Rollback: please include a weekly schedule. template attached for further guidance.
candaceg (Wed, 15 Mar 2017 20:06:17 GMT): Rollback: please update syllabus to include the following: 1-2 sentence course description, prerequisite (if any) and amount of time out of class. Please see attached syllabus template for further guidance.
Key: 5778