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S139 alias (#793)
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StevenClontz authored Oct 11, 2024
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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?"
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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*.

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