ABSTRACT

This chapter explains five concepts basic to the study of manifolds:

1. Topology vs. geometry 2. Intrinsic vs. extrinsic properties 3. Local vs. global properties 4. Homogeneous vs. nonhomogeneous geometries 5. Closed vs. open manifolds

Don’t worry about mastering these concepts right awayl If you get the general idea now you can always refer back to this chapter later should the need arise.