MATH 527
Metric and Topological Spaces (3) Metric spaces, continuous maps, compactness, connectedness, and completeness. Topolocial spaces, products, quotients, homotopy, fundamental group, simple applications.
MATH 527 Metric and Topological Spaces (3)
This course covers the classical theory of metric and topological spaces. It provides the background for several other courses in analysis, as well as a foundation in methods of algebraic topology. This course starts by covering foundational material, so it is accessible to all first-year graduate students. The following topics are covered: metric spaces, continuous maps, compactness, connectedness, completeness, topological spaces, products, quotients, homotopy, fundamental group, and provide simple applications.
General Education: None
Diversity: None
Bachelor of Arts: None
Effective: Spring 2013
Prerequisite:
MATH 429
Note : Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.