There are community and technical colleges accross the state. These colleges are under an umbrella organization called the Kentucky Community and Technical College System. The mission of KCTCS is to provide quality, affordable post-secondary education and training to folks in communities where it's needed.
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IPEDS College Opportunities On-Line is your direct link to nearly 7,000 colleges and universities in the United States. If you are thinking about a large university, a small liberal arts college, a specialized college, a community college, a career or technical college or a trade school, you can find them all here.
http://nces.ed.gov/ipeds/cool/