Parker,
You can not do what you want to do. And you shouldn't be able
to. :-)
Web services are generally used for interop between (often
very different) systems, tying a service to a particular type goes
against that purpose.
For an enumeration, you should just take a string argument
and validate that input in the service for the values you accept
("monday", tuesday", ..). This is much more in the spirit of web
services.
Hope that helps.