Page 1 of 1

(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
by answerhappygod
A Show That Rp3 And Rp2 V S3 Have Isomorphic Homology Groups In All Degrees B Show That They Are Not Homotopy Equiv 1
A Show That Rp3 And Rp2 V S3 Have Isomorphic Homology Groups In All Degrees B Show That They Are Not Homotopy Equiv 1 (50.4 KiB) Viewed 502 times
(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.