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Jul 4, 2012 at 13:50 comment added Allan Yashinski Thanks. I think what I was really after (though I didn't ask it) was if a compact subset of $\hom(X,Y)$ is automatically equicontinuous. Your convergent sequence alone answers that question.
Jul 4, 2012 at 13:46 vote accept Allan Yashinski
Jul 3, 2012 at 8:06 history answered Jochen Wengenroth CC BY-SA 3.0