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authorbnewbold <bnewbold@eta.mit.edu>2008-11-05 02:22:35 -0500
committerbnewbold <bnewbold@eta.mit.edu>2008-11-05 02:22:35 -0500
commit5c146944cae9973731ae1b24f0161a1085e2c83e (patch)
treef72bf82a669b6263c140121ec9f52c170ffccbca /math
parenta2d7b8c246db71e6c06e9f3db267b5a98691228d (diff)
downloadknowledge-5c146944cae9973731ae1b24f0161a1085e2c83e.tar.gz
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-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