diff --git a/properties/P000079.md b/properties/P000079.md index 78805c7a6..8d343eea9 100644 --- a/properties/P000079.md +++ b/properties/P000079.md @@ -19,4 +19,5 @@ Equivalently, for every set $A\subseteq X$ that is *not* closed in $X$, there is - This property is hereditary with respect to closed sets (see {{mathse:479808}}). - This property is hereditary with respect to open sets (see {{mathse:479808}}). +- This property is preserved by arbitrary disjoint unions. - This property is preserved by quotient maps. diff --git a/theorems/T000886.md b/theorems/T000886.md index b94ebb25f..8f1e36da7 100644 --- a/theorems/T000886.md +++ b/theorems/T000886.md @@ -3,7 +3,7 @@ uid: T000886 if: P000240: true then: - P000141: true + P000079: true --- -See Proposition 3.3 in . +CW complexes are quotient of disjoint union of cells, where each cell is {P79}.