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3 changes: 2 additions & 1 deletion spaces/S000118/README.md
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---
Let $X \subset \mathbb{R}^2$ consist of points with polar coordinates $\{(n,\theta)\ \mid\ n \in \omega, \theta \in \{0\} \cup \{1/n\}_{n=1}^\infty\}$. Define a topology on $X$ by taking as a basis all sets of the form $U \times V$ where $U$ is an open set in the right order topology on the positive integers and $V$ is open in $\{0\} \cup \{1/n\}_{n=1}^\infty \subset \mathbb{R}$. The only neighborhood of the origin is $X$ itself.

This space is the quotient of the product of {S200} with {S20} where all points whose first components are 0 are identified.
This space is the quotient of the product of {S200} with
{S20} where all points whose first component is $0$ are identified.

Defined as counterexample #121 ("The Integer Broom")
in {{zb:0386.54001}}.
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---
space: S000118
property: P000181
value: true
---

By definition.
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