(a) Show that RP3 and RP2 V S3 have isomorphic homology groups in all degrees. (b) Show that they are not homotopy equiv

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(a) Show that RP3 and RP2 V S3 have isomorphic homology groups in all degrees. (b) Show that they are not homotopy equiv

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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 542 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.
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