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Tweaks for S139 S201 (#1173)
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prabau authored Jan 10, 2025
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3 changes: 2 additions & 1 deletion spaces/S000139/README.md
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Expand Up @@ -4,7 +4,7 @@ name: Countable bouquet of circles
aliases:
- $\mathbb R$ with $\mathbb Z$ collapsed to a point
- Countable wedge sum of circles
- Rose with countably infinite petals
- Rose with countably many petals
refs:
- mathse: 4844916
name: Answer to "Can a Fréchet-Urysohn hemicompact Hausdorff space fail to be locally compact?"
Expand All @@ -19,4 +19,5 @@ Let $X=\mathbb R/\mathbb Z$ to be the quotient of $\mathbb R$ (with its Euclidea
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*.

Not to be confused with {S201}, which has a coarser topology.
8 changes: 6 additions & 2 deletions spaces/S000201/README.md
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Expand Up @@ -9,6 +9,10 @@ refs:
name: Hawaiian earring on Wikipedia
- zb: "0951.54001"
name: Topology (Munkres)
- zb: "1044.55001"
name: Algebraic Topology (Hatcher)
- doi: 10.1007/978-1-4612-4576-6
name: An Introduction to Algebraic Topology (Rotman)
---

The subspace of {S176} defined by
Expand All @@ -20,5 +24,5 @@ integers $n$.

Not to be confused with {S139}, which has a finer topology.

Defined as "infinite earring" in section 71 of {{zb:0951.54001}}.
Appears as Example 1.25 in {{zb:1044.55001}} (available [here](https://pi.math.cornell.edu/~hatcher/AT/ATpage.html)) under the name "Shrinking wedge of circles"; however, note that it is not actually an example of a "wedge sum" as defined in e.g. {{wikipedia:Wedge_sum}}, {{doi:10.1007/978-1-4612-4576-6}}.
Defined as "infinite earring" in section 71 of {{zb:0951.54001}}; usually known in the literature as "Hawaiian earring".
Appears as Example 1.25 in {{zb:1044.55001}} (available [here](https://pi.math.cornell.edu/~hatcher/AT/ATpage.html)) under the name "Shrinking wedge of circles"; however, note that it is not actually an example of a "wedge sum" as defined in e.g. {{wikipedia:Wedge_sum}} or {{doi:10.1007/978-1-4612-4576-6}}.

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