summaryrefslogtreecommitdiffstats
path: root/math/topology
diff options
context:
space:
mode:
Diffstat (limited to 'math/topology')
-rw-r--r--math/topology12
1 files changed, 6 insertions, 6 deletions
diff --git a/math/topology b/math/topology
index c7e482f..6b44484 100644
--- a/math/topology
+++ b/math/topology
@@ -8,15 +8,15 @@ Topology
A *topological space* is a set for which a valid topology has been defined: the topology
determines which subsets of the topological space are open and closed. In this way the
-concept of open and closed subsets on the real number line (such as `$(0,1)$`:m: and
-`$[1,2]$`:m:) are generalized to arbitrary sets.
+concept of open and closed subsets on the real number line (such as :m:`$(0,1)$` and
+:m:`$[1,2]$`) are generalized to arbitrary sets.
-Formally, a *topology* on a set `$A$`:m: is a collection `$\mathcal{T}$`:m: of
-subsets of `$A$`:m: fufiling the criteria:
+Formally, a *topology* on a set :m:`$A$` is a collection :m:`$\mathcal{T}$` of
+subsets of :m:`$A$` fufiling the criteria:
- 1. The empty set and the entire set `$A$`:m: are both in `$\mathcal{T}$`:m:.
+ 1. The empty set and the entire set :m:`$A$`:m: are both in :m:`$\mathcal{T}$`.
- 2. The union of an arbitrary number of elements of `$\mathcal{T}$`:m: is
+ 2. The union of an arbitrary number of elements of :m:`$\mathcal{T}$` is
also in `$\mathcal{T}$`:m:.
3. The intersection of a finite number of elements of `$\mathcal{T}$`:m: is