https://docs.google.com/document/d/1llPzCxlhWSucYymRenInm861KK-QVJxQS0MeEQZdjE8/edit
Introduce Bousfield localizations of presheaf model categories.
example: An ordinary category as a complete Segal space
Other nice properties (inner homs, simplicial enrichment, homotopy hypothesis, etc).
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/4676