Timeline for Can a punctured $\mathbb{C}P^n$ be a retract of a punctured $\mathbb{C}P^{n+1}$?
Current License: CC BY-SA 4.0
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Feb 7, 2022 at 13:59 | comment | added | Nick L | Right, thanks. Together with Will Sawin's answer that seems to cover every case. | |
Feb 7, 2022 at 13:49 | comment | added | მამუკა ჯიბლაძე | By the way, obviously there is no retraction for $|K|>1$ since in that case $\mathbb{CP}^1\setminus K$ acquires a nontrivial fundamental group while $\mathbb{CP}^2\setminus K$ remains simply connected | |
Feb 7, 2022 at 9:36 | history | answered | Nick L | CC BY-SA 4.0 |