Week 41

We have now covered all of chapter 2, except the appendix on the Beltrami-Klein model, which will not be part of the curriculum.  During the rest of the semester we will see how geometric ideas can be extended to more general situations by defining structures locally.  The first goal will be to understand the objects on which we can put such structures - topological surfaces.  We started this today by giving the definition and some examples.

Exercises for Tuesday 14:  2.8: 4, 5, 6 and 2.9: 4, 6, 7.

Note:  The mandatory exercises will be posted Thursday October 16 and must be handed in by Thursday October 30.