From 6c9db19214d212624d0b7a2ea74f8ccc157ef9f0 Mon Sep 17 00:00:00 2001 From: Steven Clontz Date: Thu, 10 Oct 2024 08:04:25 -0500 Subject: [PATCH 1/3] S139 alias --- spaces/S000139/README.md | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/spaces/S000139/README.md b/spaces/S000139/README.md index 430595624..ad783cbfc 100644 --- a/spaces/S000139/README.md +++ b/spaces/S000139/README.md @@ -3,6 +3,7 @@ uid: S000139 name: Countable bouquet of circles aliases: - $\mathbb R$ with $\mathbb Z$ collapsed to a point +- Countable wedge sum of circles refs: - mathse: 4844916 name: Answer to "Can a Fréchet-Urysohn hemicompact Hausdorff space fail to be locally compact?" @@ -11,5 +12,3 @@ refs: --- Let $X=\mathbb R/\mathbb Z$ to be the quotient of $\mathbb R$ (with its Euclidean topology) obtained by identifying all the points of $\mathbb Z$ to a single point $\infty$. - -The space can also be described as the *wedge sum of countably many circles*, also known as a *bouquet of countably many circles*. From 57ea756fab221c2a26a3af6f76246a7b5ea4c77a Mon Sep 17 00:00:00 2001 From: Steven Clontz Date: Thu, 10 Oct 2024 15:25:17 -0500 Subject: [PATCH 2/3] define as wedge sum --- spaces/S000139/README.md | 3 +++ 1 file changed, 3 insertions(+) diff --git a/spaces/S000139/README.md b/spaces/S000139/README.md index ad783cbfc..70058fe59 100644 --- a/spaces/S000139/README.md +++ b/spaces/S000139/README.md @@ -12,3 +12,6 @@ refs: --- Let $X=\mathbb R/\mathbb Z$ to be the quotient of $\mathbb R$ (with its Euclidean topology) obtained by identifying all the points of $\mathbb Z$ to a single point $\infty$. + +Alternatively, this space can be characterized as the *wedge sum* +(see {{wikipedia:Wedge_sum}}) of countably-many circles. From 6c580b3df39dbdf63258372d3a91771d67f7951e Mon Sep 17 00:00:00 2001 From: Patrick Rabau <70125716+prabau@users.noreply.github.com> Date: Thu, 10 Oct 2024 16:48:04 -0400 Subject: [PATCH 3/3] bouquet --- spaces/S000139/README.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/spaces/S000139/README.md b/spaces/S000139/README.md index 70058fe59..f2ac5f637 100644 --- a/spaces/S000139/README.md +++ b/spaces/S000139/README.md @@ -14,4 +14,5 @@ refs: Let $X=\mathbb R/\mathbb Z$ to be the quotient of $\mathbb R$ (with its Euclidean topology) obtained by identifying all the points of $\mathbb Z$ to a single point $\infty$. Alternatively, this space can be characterized as the *wedge sum* -(see {{wikipedia:Wedge_sum}}) of countably-many circles. +(see {{wikipedia:Wedge_sum}}) of countably-many circles, +also known as a *bouquet of countably many circles*.