From 5c146944cae9973731ae1b24f0161a1085e2c83e Mon Sep 17 00:00:00 2001 From: bnewbold Date: Wed, 5 Nov 2008 02:22:35 -0500 Subject: blah, syntax? --- math/topology | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) (limited to 'math') 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 -- cgit v1.2.1