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Posted: **Thu Jun 30, 2022 7:41 pm**

: 2 Let F X Y Be A Continuous Map Between Path Connected Locally Path Connected And Semilocally Simply Connected Spac 1 (10.07 KiB) Viewed 30 times

(2) Let f: X→Y be a continuous map between path connected, locally path connected, and semilocally simply connected spaces with ₁ (X) S42 (the symmetric group on 42 letters) and ₁(Y) Q. Show that, if the universal cover of Y is contractible, then f is nullhomotopic.