Lecture 38
Hatcher, ch. 2, sec 1 (p108 - top of p110)
Define singular homology. Hatcher gives a very interesting interpretation
of homology: cycles are maps of delta complexes into the space X. What does
it mean if a cycle is the boundary of another chain?
Ideas:
Examples of this
philosophy could be used in the examples of the homology of the torus and
the projective plane (as described in the last lecture). What is the
geometric meaning of the 2-torsion in H_1(P)?
Prove 2.6, 2.7, 2.8. Do not define reduced homology.