From d5547b0f82e486cc1447a02fc3c0c7e304e2d45b Mon Sep 17 00:00:00 2001 From: Patrick Rabau <70125716+prabau@users.noreply.github.com> Date: Tue, 11 Aug 2026 23:58:18 -0400 Subject: [PATCH 1/2] Spaces with dispersion point and size >= 3 are not homogeneous --- theorems/T000928.md | 17 +++++++++++++++++ 1 file changed, 17 insertions(+) create mode 100644 theorems/T000928.md diff --git a/theorems/T000928.md b/theorems/T000928.md new file mode 100644 index 000000000..f477f5976 --- /dev/null +++ b/theorems/T000928.md @@ -0,0 +1,17 @@ +--- +uid: T000928 +if: + and: + - P000045: true + - P000175: true +then: + P000086: false +refs: + - mathse: 5146777 + name: Answer to "A connected space cannot have more than one dispersion point" + - zb: 48.0210.01 + name: A theorem concerning connected point sets (J. R. Kline) +--- + +If $|X|\ge 3$, $X$ can have at most one dispersion point. +See Proposition 1 in {{mathse:5146777}} or {{zb:48.0210.01}}. From 0bf20df60e21532478f0054e165538701e22f61c Mon Sep 17 00:00:00 2001 From: Patrick Rabau <70125716+prabau@users.noreply.github.com> Date: Wed, 12 Aug 2026 21:10:49 -0400 Subject: [PATCH 2/2] remove Kline reference --- theorems/T000928.md | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/theorems/T000928.md b/theorems/T000928.md index f477f5976..ae3a8be96 100644 --- a/theorems/T000928.md +++ b/theorems/T000928.md @@ -9,9 +9,7 @@ then: refs: - mathse: 5146777 name: Answer to "A connected space cannot have more than one dispersion point" - - zb: 48.0210.01 - name: A theorem concerning connected point sets (J. R. Kline) --- If $|X|\ge 3$, $X$ can have at most one dispersion point. -See Proposition 1 in {{mathse:5146777}} or {{zb:48.0210.01}}. +See Proposition 1 in {{mathse:5146777}}.