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S139 alias #793

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merged 3 commits into from
Oct 11, 2024
Merged

S139 alias #793

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6c9db19
S139 alias
StevenClontz Oct 10, 2024
57ea756
define as wedge sum
StevenClontz Oct 10, 2024
6c580b3
bouquet
prabau Oct 10, 2024
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5 changes: 4 additions & 1 deletion spaces/S000139/README.md
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Expand Up @@ -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?"
Expand All @@ -12,4 +13,6 @@ 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 $\infty$.

The space can also be described as the *wedge sum of countably many circles*, also known as a *bouquet of countably many circles*.
Alternatively, this space can be characterized as the *wedge sum*
(see {{wikipedia:Wedge_sum}}) of countably-many circles,
also known as a *bouquet of countably many circles*.