Definition talk:Sequentially Compact Space

Cañizo: hope you don't mind the minor rewrite, but I thought it worth while adding the "in itself" definition clarifying what you'd put in the "notes" section. I commented out your original so you can easily restore it if you're not happy with this. --Matt Westwood 21:39, 6 March 2009 (UTC)

Definition applied where?
"The definition is applied to a subspace that doesn't appear in the definition."

Sorry, I don't understand, applied where that doesn't appear in the definition? Are we talking about another result which uses this? Or is there something inherently wrong with this definition? --prime mover 10:24, 20 August 2011 (CDT)

It sais: "A subspace $A\subseteq X$ is secuentially compact in $T\ $".

But the definition contains no reference to $A$: "every infinite sequence in $X$ has a subsequence which converges to a point in $X$ "--Dan232 13:47, 20 August 2011 (CDT)


 * Understood. The penny has dropped. I have rewritten it (taking it back to before 2009 where things went wrong). Thx. --prime mover 14:07, 20 August 2011 (CDT)