diff --git a/properties/P000207.md b/properties/P000207.md index 1d7d41f04..a18b03e6d 100644 --- a/properties/P000207.md +++ b/properties/P000207.md @@ -31,3 +31,4 @@ See also {{doi:10.1090/S0002-9939-1981-0630058-4}}. #### Meta-properties - This property is preserved by arbitrary disjoint unions. +- This property is hereditary with respect to closed sets (corollary of theorem 4.1 in {{doi:10.2307/1993026}}). diff --git a/theorems/T000821.md b/theorems/T000821.md new file mode 100644 index 000000000..0074e1574 --- /dev/null +++ b/theorems/T000821.md @@ -0,0 +1,14 @@ +--- +uid: T000821 +if: + and: + - P000190: true + - P000030: true +then: + P000017: true +refs: + - mathse: 5117210 + name: Is every orderable topology strongly collectionwise normal? +--- + +See {{mathse:5117210}}. diff --git a/theorems/T000822.md b/theorems/T000822.md new file mode 100644 index 000000000..d33d388f8 --- /dev/null +++ b/theorems/T000822.md @@ -0,0 +1,12 @@ +--- +uid: T000822 +if: + P000154: true +then: + P000207: true +refs: + - mathse: 5117210 + name: Is every orderable topology strongly collectionwise normal? +--- + +See {{mathse:5117210}}.