From 2e261ffb183792338d6e555a597a71db171ccdd6 Mon Sep 17 00:00:00 2001 From: Patrick Rabau <70125716+prabau@users.noreply.github.com> Date: Mon, 31 Aug 2026 21:04:49 -0400 Subject: [PATCH] P50 zero dimensional in terms of ind --- properties/P000050.md | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/properties/P000050.md b/properties/P000050.md index 3cf4bcc19e..71f60b222d 100644 --- a/properties/P000050.md +++ b/properties/P000050.md @@ -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}}.