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P50 (zero dimensional) in terms of ind #1834

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felixpernegger merged 1 commit into from
Sep 2, 2026
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P50 (zero dimensional) in terms of ind #1834

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6 changes: 5 additions & 1 deletion properties/P000050.md
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Expand Up @@ -6,7 +6,11 @@ refs:
name: Counterexamples in Topology
---

A space with a basis of clopen sets.
$X$ has a base consisting of clopen sets.

In terms of the [small inductive dimension](https://en.wikipedia.org/wiki/Inductive_dimension),
this corresponds to $\text{ind}(X)\le 0$.
(In particular, the empty space is {P50}.)

Defined on page 33 of {{zb:0386.54001}}.

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