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Diffstat (limited to 'library/topology/metric-space.tex')
| -rw-r--r-- | library/topology/metric-space.tex | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/library/topology/metric-space.tex b/library/topology/metric-space.tex index 0ed7bab..031aa0f 100644 --- a/library/topology/metric-space.tex +++ b/library/topology/metric-space.tex @@ -4,10 +4,10 @@ \import{set/powerset.tex} \import{topology/basis.tex} -\section{Metric Spaces} +\section{Metric Spaces}\label{form_sec_metric} \begin{definition}\label{metric} - $f$ is a metric on $M$ iff $f$ is a function from $M \times M$ to $\reaaals$ and + $f$ is a metric on $M$ iff $f$ is a function from $M \times M$ to $\reals$ and for all $x,y,z \in M$ we have $f(x,x) = \zero$ and $f(x,y) = f(y,x)$ and |