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Jul 6, 2018 at 13:43 history edited Ben McKay CC BY-SA 4.0
spelling, grammar, formatting
Jul 6, 2018 at 11:53 comment added Henno Brandsma When $Y$ is clopen in $X$, there is no lifting required as $C \subset Y$ clopen in $Y$ then implies $C$ is clopen in $X$ too. If $Y$ is disconnected and $X$ is not, we cannot lift any clopens but $\emptyset$ and $Y$.
Jul 6, 2018 at 11:27 history edited E.R CC BY-SA 4.0
added 65 characters in body
Jul 6, 2018 at 7:38 history edited Neil Strickland
Removed the algebraic topology tag, which is not relevant here
Jul 6, 2018 at 3:01 history asked E.R CC BY-SA 4.0