Math 434 syllabus

Topology

 Course Description:  

The course provides an introduction to topology. Topological spaces, surfaces, open and closed sets, homeomorphisms, continuity, compactness, connectedness, metric spaces, product spaces, quotient and identification spaces will be covered.  If time allows, fundamental group and covering spaces will also be covered.

Credit for both MA 434 and MA 542 is not allowed. 

Prerequisite:   C or better in MA 335 or permission of the instructor.    

Objectives:

Students should gain:

an ability to work with axioms of topological spaces

skill at discovering and writing proofs

• a familiarity with a variety of examples and counter-examples.   

Text:    Textbook to be chosen by the instructor.


Updated March 10, 2014