Can categories be renamed, moved, or redirected?
Yes, “speedy renaming” can be done by listing the category at Wikipedia:Categories for discussion#Speedy renaming. See Wikipedia:Category deletion policy#Speedy renaming procedure. “Normal” redirects in the form #REDIRECT [[Category:Better name]] do not work in category space. Instead, use the template {{Category redirect}}: a bot periodically recategorizes articles in the redirected category to the target category. Any editor can add a category redirect although, in general, established categories should not be unilaterally redirected but should be taken to Wikipedia:Categories for discussion to suggest redirecting as part of a rename / merger of the category. It is currently impossible to “move” a category and keep its editing history, in contrast to renamed articles.