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Space with semi-locally simply connected open subsets

$X$ need not be locally simply connected. Consider the following construction: Let $X_0=S^1$ and $X_n=CS^1$ for all $n\geq 1$ where $CS^1$ is the cone over the circle. Let $Y_0=X_0$, and for $n\geq 1 …
Patrick Gillespie's user avatar