pi-base · prabau · Mar 31, 2026 · Mar 29, 2026 · Mar 29, 2026 · Mar 29, 2026
diff --git a/properties/P000166.md b/properties/P000166.md
@@ -17,4 +17,4 @@ the function space $C_p(X)$ being {P26}.
 #### Meta-properties
 
 - This property is preserved by countable disjoint unions.
-- This property is hereditary (use the fact that [Metrizable + Separable => Hereditarily separable](https://topology.pi-base.org/spaces?q=metrizable+%2B+Separable+%2B+%7EHereditarily+separable)).
+- This property is hereditary (use the fact that [Metrizable + Separable ⇒ Hereditarily separable](https://topology.pi-base.org/spaces?q=metrizable+%2B+Separable+%2B+%7EHereditarily+separable)).
diff --git a/properties/P000206.md b/properties/P000206.md
@@ -26,3 +26,4 @@ to the {{wikipedia:Normal_play_convention}} of combinatorial games.
 #### Meta-properties
 
 - $X$ satisfies this property iff its Kolmogorov quotient $\text{Kol}(X)$ does.
+- This property is preserved by arbitrary products.
diff --git a/spaces/S000077/properties/P000006.md b/spaces/S000077/properties/P000006.md
diff --git a/spaces/S000077/properties/P000028.md b/spaces/S000077/properties/P000028.md
@@ -0,0 +1,7 @@
+---
+space: S000077
+property: P000028
+value: true
+---
+
+{S63|P28} and {S28|P28}, hence so is their product.
diff --git a/spaces/S000077/properties/P000036.md b/spaces/S000077/properties/P000036.md
diff --git a/spaces/S000077/properties/P000050.md b/spaces/S000077/properties/P000050.md
@@ -0,0 +1,7 @@
+---
+space: S000077
+property: P000050
+value: true
+---
+
+{S63|P50} and {S28|P50}, hence so is their product.
diff --git a/spaces/S000077/properties/P000051.md b/spaces/S000077/properties/P000051.md
diff --git a/spaces/S000077/properties/P000061.md b/spaces/S000077/properties/P000061.md
@@ -0,0 +1,8 @@
+---
+space: S000077
+property: P000061
+value: false
+---
+
+If $X$ is {P61}, then each of its factor {P61}.
+However, {S63|P61}.
diff --git a/spaces/S000077/properties/P000063.md b/spaces/S000077/properties/P000063.md
@@ -0,0 +1,7 @@
+---
+space: S000077
+property: P000063
+value: false
+---
+
+$X$ contains {S63} as a closed subspace and {S63|P63}.
diff --git a/spaces/S000077/properties/P000065.md b/spaces/S000077/properties/P000065.md
diff --git a/spaces/S000077/properties/P000139.md b/spaces/S000077/properties/P000139.md
@@ -0,0 +1,8 @@
+---
+space: S000077
+property: P000139
+value: false
+---
+
+If $X$ {P139}, then each of its factor {P139}.
+However, {S28|P139}.
diff --git a/spaces/S000077/properties/P000166.md b/spaces/S000077/properties/P000166.md
@@ -0,0 +1,7 @@
+---
+space: S000077
+property: P000166
+value: true
+---
+
+The Euclidean topology of $\mathbb R \times (\mathbb R \setminus \mathbb Q)$ is a coarser topology which is {P26} and {P53}.
diff --git a/spaces/S000077/properties/P000167.md b/spaces/S000077/properties/P000167.md
diff --git a/spaces/S000077/properties/P000206.md b/spaces/S000077/properties/P000206.md
@@ -0,0 +1,7 @@
+---
+space: S000077
+property: P000206
+value: true
+---
+
+{S63|P206} and {S28|P206}, hence so is their product.
Original file line number	Diff line number	Diff line change
Expand Up		@@ -26,3 +26,4 @@ to the {{wikipedia:Normal_play_convention}} of combinatorial games.
		#### Meta-properties

		- $X$ satisfies this property iff its Kolmogorov quotient $\text{Kol}(X)$ does.
		- This property is preserved by arbitrary products.