Let $X$ be a discrete subset of a $K(\pi,1)$. Is the quotient space $K(\pi,1)/X$ still a $K(\pi',1)$? If so, what is $\pi'$?
Is the quotient of a $K(\pi,1)$ by a discrete subset still an Eilenberg-MacLane space?
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algebraic-topology
homotopy-theory
eilenberg-maclane-spaces