(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

X is a space with the property that {X\{m}:m[tex]\in[/tex]X}[tex]\subseteq\tau(X)[/tex].

2={0,1}.

Prove that X can be embeded in [tex]\prod_{\tau(X)}2[/tex].

2. Relevant equations

[tex]\tau(X)=\{\emptyset,\{0\},\{0,1\}\}[/tex].

3. The attempt at a solution

I have a few simple questions.

Why is the product indexing over the topology on X? What does[tex]\prod_{\tau(X)}2[/tex] 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.

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# Homework Help: Embeding function

Can you offer guidance or do you also need help?

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