Introduction to Algebraic Topology

3 credits · Undergraduate

An introduction to algebraic topology including the following topics: the definitions, properties and methods of computation of the fundamental group of a topological space; simplicial, singular and cellular homology groups; basic properties and methods of computation of homology groups; a selection of application such as the classification of surfaces and fixed point theorems. PREREQUISITES: MATH 2505.03, MATH 4170.03 CROSSLISTED: MATH 5180.03 FORMATS: Lecture