Completing two ordinal(-like) spaces (S36 and S141)

spaces/S000036/properties/P000151.md

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+---
+space: S000036
+property: P000151
+value: true
+---
+
+In the first round, after Player I picked some open cover, Player II can then pick a cocountable neighborhood $U$ of the point $\omega_1 \in X$. Choose an enumeration $X\setminus U = \{x_1,x_2,\dots\}$. Player II then has a winning strategy by picking a neighborhood of $x_n$ in the $n+1$-th step of the game.

spaces/S000141/properties/P000103.md

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+---
+space: S000141
+property: P000103
+value: false
+---
+
+$X$ contains {S36} as a subspace, and {S36|P103}.

spaces/S000141/properties/P000151.md

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+---
+space: S000141
+property: P000151
+value: true
+---
+
+Similar to {S36|P151}.