ABSTRACT

The concept of \Covering Space" provides a powerful tool for the computation of the fundamental group of various spaces and is, thus, intimately related to its study. In this section, we discuss some basic properties and examples of covering maps. A familiar example of such maps is the exponential map p : R1 ! S1, t 7! e2{t. In x14.3, we have already studied some properties of this map, and the most essential one is captured in the following.