Bridging wireless networks?

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http://ubuntuforums.org – Hi guys. I don't know much about wireless, so here is a question for you all. I recently moved to a new place, which is cool. Unfortunately the modem sits in one end of the apartment and the office is at the opposite end, and routing an Ethernet cable is pretty tricky since I rent and can't really drill holes in the wall. So I'm wondering if it is possible to connect a router to another routers wireless network? What I want is something like the attached sketch. Wireless router 1 acts as gateway, DHCP server and serves laptops and others that need to connect to WIFI. Wireless router (Hardware)