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1 change: 1 addition & 0 deletions properties/P000079.md
Original file line number Diff line number Diff line change
Expand Up @@ -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.
4 changes: 2 additions & 2 deletions theorems/T000886.md
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Expand Up @@ -3,7 +3,7 @@ uid: T000886
if:
P000240: true
then:
P000141: true
P000079: true
---

See Proposition 3.3 in <https://ncatlab.org/nlab/show/CW+complex>.
CW complexes are quotient of disjoint union of cells, where each cell is {P79}.
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