# Embeding function

1. Nov 28, 2008

### Unassuming

1. The problem statement, all variables and given/known data

X is a space with the property that {X\{m}:m$$\in$$X}$$\subseteq\tau(X)$$.
2={0,1}.
Prove that X can be embeded in $$\prod_{\tau(X)}2$$.

2. Relevant equations

$$\tau(X)=\{\emptyset,\{0\},\{0,1\}\}$$.

3. The attempt at a solution
I have a few simple questions.
Why is the product indexing over the topology on X? What does$$\prod_{\tau(X)}2$$ look like? What does the space X look like?
Any insight in pointing me in the right direction would be helpful since I do not have many examples of embeded functions.