According to this reverse-engineered schematic, you can omit a pull-up on reset and on gpio2, but I would not skip the pull-up on gpio0... http://www.addicore.com/v/vspfiles/downloadables/Product%20Downloadables/ESP8266/schematic_esp-12-q.png
@tve started
Espruino is a JavaScript interpreter for low-power Microcontrollers. This site is both a support community for Espruino and a place to share what you are working on.
According to this reverse-engineered schematic, you can omit a pull-up on reset and on gpio2, but I would not skip the pull-up on gpio0...
http://www.addicore.com/v/vspfiles/downloadables/Product%20Downloadables/ESP8266/schematic_esp-12-q.png