Pretty simple. may require some programming. If so, make sure it is written as a plugin to osclass.
On the page where the user sees all of the categories there needs to be an item
"Don't see a category you like? Click here and request one."
If the user is logged in then it jumps to the next step. If not, the user is prompted:
"You must be logged in to continue."
below the text are two buttons, login or cancel. If they click continue then the user is redirected to the login screen.
Next Step:
the text "Click here and request one." should be a hyperlink. It will open a dialog box with the following text:
"enter the category you would like to see added. The limit is 20 characters and can only contain letters and numbers."
Then their is a data field where the user can type in the category they would like to see added.
Below that their is a capcha to prevent spamming.
Inside the admin their needs to be a spot where the admin can see the requested categories and delete them individually as he wants.
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