From 6d0881a69945ba628919631c3bf42b33c39de0a5 Mon Sep 17 00:00:00 2001 From: Patrick Rabau <70125716+prabau@users.noreply.github.com> Date: Sun, 28 Jun 2026 16:21:34 -0400 Subject: [PATCH 1/2] Some cleanup of CCC traits --- spaces/S000013/properties/P000029.md | 7 ------- spaces/S000014/properties/P000029.md | 10 ---------- spaces/S000022/properties/P000029.md | 11 ----------- spaces/S000157/properties/P000029.md | 8 -------- 4 files changed, 36 deletions(-) delete mode 100644 spaces/S000013/properties/P000029.md delete mode 100644 spaces/S000014/properties/P000029.md delete mode 100644 spaces/S000022/properties/P000029.md delete mode 100644 spaces/S000157/properties/P000029.md diff --git a/spaces/S000013/properties/P000029.md b/spaces/S000013/properties/P000029.md deleted file mode 100644 index d369211019..0000000000 --- a/spaces/S000013/properties/P000029.md +++ /dev/null @@ -1,7 +0,0 @@ ---- -space: S000013 -property: P000029 -value: false ---- - -If $p$ is the excluded point, $ \{ \{x\}\ |\ x \neq p\} $ is an uncountable, pairwise disjoint collection of open sets. diff --git a/spaces/S000014/properties/P000029.md b/spaces/S000014/properties/P000029.md deleted file mode 100644 index fadf2b14d0..0000000000 --- a/spaces/S000014/properties/P000029.md +++ /dev/null @@ -1,10 +0,0 @@ ---- -space: S000014 -property: P000029 -value: false -refs: -- zb: "0386.54001" - name: Counterexamples in Topology ---- - -$\{ \{x\}\ |\ x \neq 0\}$ is an uncountable, pairwise disjoint collection of open sets. diff --git a/spaces/S000022/properties/P000029.md b/spaces/S000022/properties/P000029.md deleted file mode 100644 index 8ff1c1aae8..0000000000 --- a/spaces/S000022/properties/P000029.md +++ /dev/null @@ -1,11 +0,0 @@ ---- -space: S000022 -property: P000029 -value: false -refs: -- zb: "0386.54001" - name: Counterexamples in Topology ---- - -The singletons $\{x\}$ for $x\ne p$ are open and pairwise disjoint. -And there are uncountably many of them. diff --git a/spaces/S000157/properties/P000029.md b/spaces/S000157/properties/P000029.md deleted file mode 100644 index 07720ba5d9..0000000000 --- a/spaces/S000157/properties/P000029.md +++ /dev/null @@ -1,8 +0,0 @@ ---- -space: S000157 -property: P000029 -value: false ---- - -The singletons $\{x\}$ for $x\ne p$ are open and pairwise disjoint. -And there are uncountably many of them. From 4913924eee88cf258711cf1f1a8c415cd7165d70 Mon Sep 17 00:00:00 2001 From: Patrick Rabau <70125716+prabau@users.noreply.github.com> Date: Sun, 28 Jun 2026 16:23:29 -0400 Subject: [PATCH 2/2] one more --- spaces/S000133/properties/P000029.md | 7 ------- 1 file changed, 7 deletions(-) delete mode 100644 spaces/S000133/properties/P000029.md diff --git a/spaces/S000133/properties/P000029.md b/spaces/S000133/properties/P000029.md deleted file mode 100644 index 03e863c921..0000000000 --- a/spaces/S000133/properties/P000029.md +++ /dev/null @@ -1,7 +0,0 @@ ---- -space: S000133 -property: P000029 -value: false ---- - -The set $\{\{x\}\mid x\ne p\}$ is an uncountable collection of disjoint open sets.