| · | Identify the "orientation" double cover for a general non-orientable surface. |
| · |
Suppose p:E --> M is a covering space, with E and M connected n-manifolds. If M is orientable, show that E is orientable, and that every covering transformation preserves orientation. |
| · | Problems #2, 5 - 9, Hatcher page 257. |
| · | Problems #16, 17, 24, 25, Hatcher page 259. |
| · | Prove that a homotopy equivalence CP2n --> CP2n preserves orientation. |
| · | Distinguish CP2 and S2(wedge) S4 preserves orientation. |
| · | Distinguish CP3 and S2x S4 preserves orientation. |
Dan Cohen Fall 2009