See Geisser in K-theory handbook, page 214.
Jannsen: Continuous etale cohomology (1988)
arXiv: Experimental full text search
CT (Category theory), AG (Algebraic geometry)?
Cat
Checking the Geisser reference given below I could not find anything meaningful, so I think this DB page can safely be ignored.
nLab page on Continuous hypercohomology