(a) Show that RP3 and RP2 V S3 have isomorphic homology groups in all degrees. (b) Show that they are not homotopy equiv
Posted: Tue Sep 07, 2021 7:29 am
(a) Show that RP3 and RP2 V S3 have isomorphic homology groups in all degrees. (b) Show that they are not homotopy equivalent in two ways: (i) by considering the homology groups of their universal covers (ii) by considering their cohomology rings.