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Feb 11, 2014 at 22:18 comment added Dominik Kwietniak It turns out that the answer to the above question is negative (see below). Still one can prove that for every synchronizing block $v$ for $X$ there is a block $w$ such that $vw$ is admissible in $X$ and $\psi^{(|vw|)}(vw)$ is synchronizing for $Y$.
Feb 11, 2014 at 22:14 vote accept Dominik Kwietniak
Feb 10, 2014 at 12:44 answer added Algernon timeline score: 1
Feb 7, 2014 at 13:34 history edited Dominik Kwietniak CC BY-SA 3.0
added 16 characters in body; edited title
Feb 7, 2014 at 11:50 history asked Dominik Kwietniak CC BY-SA 3.0