From e9b789b7adbc8b143e4374b43bf55cbf83050e82 Mon Sep 17 00:00:00 2001 From: Steven Clontz Date: Wed, 13 Aug 2025 19:29:31 -0500 Subject: [PATCH 1/6] Add P217 Toronto --- properties/P000217.md | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 properties/P000217.md diff --git a/properties/P000217.md b/properties/P000217.md new file mode 100644 index 0000000000..95810ea238 --- /dev/null +++ b/properties/P000217.md @@ -0,0 +1,15 @@ +--- +uid: P000217 +name: Toronto +refs: +- mo: 24144 + name: Is there an uncountable, non-discrete, Hausdorff Toronto space? +--- + +Any subspace $Y \subseteq X$ with $|Y|=|X|$ is homeomorphic to $X$. + +---- +#### Meta-properties + +- This property is only studied by mathematicians in social situations where + good food and drink is available. From 0e95cccba1b638a8555950933a70dcd5636e60ea Mon Sep 17 00:00:00 2001 From: Steven Clontz Date: Wed, 13 Aug 2025 19:32:05 -0500 Subject: [PATCH 2/6] modify meta-property --- properties/P000217.md | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/properties/P000217.md b/properties/P000217.md index 95810ea238..3db4eca812 100644 --- a/properties/P000217.md +++ b/properties/P000217.md @@ -11,5 +11,6 @@ Any subspace $Y \subseteq X$ with $|Y|=|X|$ is homeomorphic to $X$. ---- #### Meta-properties -- This property is only studied by mathematicians in social situations where - good food and drink is available. +- According to [Alan Dow](https://math.charlotte.edu/directory/alan-dow/), + this property may only be discussed by mathematicians when enjoying + a sufficient amount of alcohol. From bafacc70e58e4a5bdf562cd800dfbd5162548989 Mon Sep 17 00:00:00 2001 From: Steven Clontz Date: Sun, 17 Aug 2025 16:19:03 -0500 Subject: [PATCH 3/6] Update P000217.md --- properties/P000217.md | 19 +++++++++++++------ 1 file changed, 13 insertions(+), 6 deletions(-) diff --git a/properties/P000217.md b/properties/P000217.md index 3db4eca812..b26b618d98 100644 --- a/properties/P000217.md +++ b/properties/P000217.md @@ -4,13 +4,20 @@ name: Toronto refs: - mo: 24144 name: Is there an uncountable, non-discrete, Hausdorff Toronto space? +- zb: "0718.54001" + name: Open Problems in Topology (van Mill, Reed) +- zb: "0755.54002" + name: Partitioning topological spaces (Weiss) --- -Any subspace $Y \subseteq X$ with $|Y|=|X|$ is homeomorphic to $X$. +Any subspace $Y \subseteq X$ with $|Y|=|X|$ is homeomorphic to $X$. ----- -#### Meta-properties +In {{zb:0755.54002}}, William Weiss notes (as quoted by Andrés E. Caicedo +in {{mo:24144}}): -- According to [Alan Dow](https://math.charlotte.edu/directory/alan-dow/), - this property may only be discussed by mathematicians when enjoying - a sufficient amount of alcohol. +> [This] is of course related to the Toronto seminar problem of whether there is +> an uncountable non-discrete space which is homeomorphic to each of its uncountable subspaces. +> There are rules for working on this latter problem. The problem can be worked upon only in +> groups of three or more mathematicians, and it is required that alcohol, preferably beer, +> be present during this time. Contact anyone in the Toronto Set Theory Seminar for the current +> status of the problem. It may never be solved." From ec0c3c3778a158a74edbe374b43d1a065006c691 Mon Sep 17 00:00:00 2001 From: Steven Clontz Date: Sun, 17 Aug 2025 16:23:23 -0500 Subject: [PATCH 4/6] Update P000217.md --- properties/P000217.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/properties/P000217.md b/properties/P000217.md index b26b618d98..15f9026f8c 100644 --- a/properties/P000217.md +++ b/properties/P000217.md @@ -8,6 +8,8 @@ refs: name: Open Problems in Topology (van Mill, Reed) - zb: "0755.54002" name: Partitioning topological spaces (Weiss) +- wikipedia: Toronto_space + name: Toronto space --- Any subspace $Y \subseteq X$ with $|Y|=|X|$ is homeomorphic to $X$. From 8b5c8a6f03cf89859e1b244c491d46d1c71b4ce5 Mon Sep 17 00:00:00 2001 From: Moniker1998 <88507423+Moniker1998@users.noreply.github.com> Date: Fri, 29 Aug 2025 21:13:11 +0200 Subject: [PATCH 5/6] Update P000217.md --- properties/P000217.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/properties/P000217.md b/properties/P000217.md index 15f9026f8c..e740f9a187 100644 --- a/properties/P000217.md +++ b/properties/P000217.md @@ -1,5 +1,5 @@ --- -uid: P000217 +uid: P000219 name: Toronto refs: - mo: 24144 From 33254734cf6b426933f45440c7b374ebf595bc02 Mon Sep 17 00:00:00 2001 From: Moniker1998 <88507423+Moniker1998@users.noreply.github.com> Date: Fri, 29 Aug 2025 21:13:24 +0200 Subject: [PATCH 6/6] Rename P000217.md to P000219.md --- properties/{P000217.md => P000219.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename properties/{P000217.md => P000219.md} (100%) diff --git a/properties/P000217.md b/properties/P000219.md similarity index 100% rename from properties/P000217.md rename to properties/P000219.md