- 3 Let B Be A Path Connected Space We Say That B Non Trivially Covers Itself If There Is A Covering Map P E B Such T 1 (10.12 KiB) Viewed 35 times
(3) Let B be a path connected space. We say that B non-trivially covers itself if there is a covering map p: E→ B such t
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(3) Let B be a path connected space. We say that B non-trivially covers itself if there is a covering map p: E→ B such t
(3) Let B be a path connected space. We say that B non-trivially covers itself if there is a covering map p: E→ B such that E is homeomorphic to B and p-¹(bo)l> 1 for some bo EB. fo (a) For which m, n > 0 does S x S non-trivially cover itself? Justify your claim. (b) For which n> 0 does RP" non-trivially cover itself? Justify your claim.