From ae87e9547b39926d77894ff349708d7fa92171bb Mon Sep 17 00:00:00 2001 From: Sophie <43860774+walkingsophie@users.noreply.github.com> Date: Thu, 21 Sep 2023 10:49:31 +0100 Subject: [PATCH] Update 03_metric_spaces.tex Fixed Typo --- ib/antop/03_metric_spaces.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ib/antop/03_metric_spaces.tex b/ib/antop/03_metric_spaces.tex index 977213b..8c41b9a 100644 --- a/ib/antop/03_metric_spaces.tex +++ b/ib/antop/03_metric_spaces.tex @@ -3,7 +3,7 @@ \subsection{Definition} Let \( M \) be a set. Then a \textit{metric} on \( M \) is a function \( d \colon M \times M \to \mathbb R \) such that \begin{enumerate} - \item (positivity) \( \forall x,y \in M, d(x,y) \geq 0 \), and in particular, \( x = y \iff d(x,x) = 0 \) + \item (positivity) \( \forall x,y \in M, d(x,y) \geq 0 \), and in particular, \( x = y \iff d(x,y) = 0 \) \item (symmetric) \( \forall x,y \in M, d(x,y) = d(y,x) \) \item (triangle inequality) \( \forall x,y,z \in M, d(x,z) \leq d(x,y) + d(y,z) \). \end{enumerate}