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There was a book I read quite a while ago where due to population problems the population of the world was divided into seven parts. Each part actively lived one day a week and were in suspended animation for the other six days.
The protagonist gamed the system and was living each day under different identities.
Possibly Dayworld by Philip José Farmer
Jeff Caird is a citizen of Tuesday-World N.E. (New Era) 1330. The book starts on D5-W1 (Day-Five, Week-One) in the Second Month of N.E. 1330. (Each day of the week is the same day number, i.e. Sun-Sat will still be D5-W1). The book takes place over a full week, from Tuesday-World D5-W1 to Tuesday-World D6-W1. Jeff Caird is an 'organic' (police officer) by profession. Each day of the week organics have a different outfit. Also, each day of the week has a different fashion trend, TV shows, news, and so on, most people only knowing about each in his or her own day. However, Jeff Caird is a daybreaker, and not only that, he's an immer. The immers are a group of individuals living and acting beneath the radar of the government. The goal of the immers is to slowly and subtly change the government for the better. There are immers in just about every aspect of society in each day of the week. Jeff Caird is special in that he is a daybreaker as sanctioned by the immers, used to pass messages from day to day. As a daybreaker, Caird has mentally created a different identity for himself for each day of the week, different jobs, different friends, and different wives all included.
