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I recently added a question to the Sci-Fi site, unfortunately this question was closed because I could have looked it up quite easily.
However that is not my point, normally when there is interaction on your question you will get a notifier any sites header under the 'inbox'. This does not happen when your question is closed. That means that I won't be educated about the etiquette required from this (a special) site and continue with bad questions.
I would ask for the feature, that upon being closed of your question, you would receive a message about this in your general SE inbox.