Talk:Compact First-Countable Space is Sequentially Compact

The notation $$\{x_n\}_{n \in \N}$$ is, I believe, not recommended, as (using the "set brace" notation that it does), it carries the implication that the order of terms does not matter.

I've been fairly consistently using $$\left \langle {x_n} \right \rangle$$ for a general sequence, but $$\left({x_n} \right)$$ is frequently seen. I prefer the former because round brackets are arguably overused.

Hope you don't mind (in the interests of consistency) my changing it to $$\left \langle {x_n} \right \rangle$$ as appropriate. --Matt Westwood 12:25, 8 March 2009 (UTC)