From 85a83fc4050bb6d7853397991d417157a42f1d2c Mon Sep 17 00:00:00 2001 From: Alman <149833592+Almanzoris@users.noreply.github.com> Date: Mon, 14 Oct 2024 16:10:37 +0200 Subject: [PATCH] Update. --- spaces/S000199/properties/P000026.md | 4 ++-- spaces/S000199/properties/P000036.md | 9 --------- spaces/S000199/properties/P000051.md | 7 +++++++ 3 files changed, 9 insertions(+), 11 deletions(-) delete mode 100644 spaces/S000199/properties/P000036.md create mode 100644 spaces/S000199/properties/P000051.md diff --git a/spaces/S000199/properties/P000026.md b/spaces/S000199/properties/P000026.md index 0b5d38fb1..543fd70bf 100644 --- a/spaces/S000199/properties/P000026.md +++ b/spaces/S000199/properties/P000026.md @@ -4,6 +4,6 @@ property: P000026 value: false --- -Let $n \in (\mathbb{Z} \setminus 2\mathbb{Z})$, $k \in \mathbb{Z}$ such that $k \geq 2$ and $C_{n,k}$. +Let $n \in (\mathbb{Z} \setminus 2\mathbb{Z})$, $k \in \mathbb{Z}$ such that $k \geq 2$. -If $x \in C_{n,k} \setminus \{p_{n,k}\}$, then $\{x\}$ is open. +Each point of $C_{n,k} \setminus \{p_{n,k}\}$ is isolated in $X$. diff --git a/spaces/S000199/properties/P000036.md b/spaces/S000199/properties/P000036.md deleted file mode 100644 index 5bc02bf01..000000000 --- a/spaces/S000199/properties/P000036.md +++ /dev/null @@ -1,9 +0,0 @@ ---- -space: S000199 -property: P000036 -value: false ---- - -Let $n \in (\mathbb{Z} \setminus 2\mathbb{Z})$, $k \in \mathbb{Z}$ such that $k \geq 2$ and $C_{n,k}$. - -If $x \in C_{n,k} \setminus \{p_{n,k}\}$, then $\{x\}$ is clopen. diff --git a/spaces/S000199/properties/P000051.md b/spaces/S000199/properties/P000051.md new file mode 100644 index 000000000..f7e6972c2 --- /dev/null +++ b/spaces/S000199/properties/P000051.md @@ -0,0 +1,7 @@ +--- +space: S000199 +property: P000051 +value: true +--- + +Let $m \in 2\mathbb{Z}, n \in (\mathbb{Z} \setminus 2\mathbb{Z})$, $k \in \mathbb{Z}$ such that $k \geq 2$. Each point of $C_{n,k} \setminus \{p_{n,k}\}$ is isolated in $X$, and $L_m$ is a discrete subspace of $X$.