Hello Planewalkers.
Do you know books which might have inspired the Planescape setting?
I read recently the "Pastel City" stories in "Viriconium" by M. John Harrison.
Parallels to Sigil are obvious. The atmosphere is similar to that in Planescape.
Sigil's geometry is surely lent from Larry Niven's "Ringworld".
Any further suggestions?
No, not Ringworld. See "Eon" by Greg Bear, which featured a ring-shaped city full of portals to alternate timelines, whose inhabitants floated above the streets and spoke to each other in pictures that floated above their heads. It's a science fiction novel, not fantasy. I don't know for sure that David "Zeb" Cook read it, but the parallels are eerie.
"The Dragon in the Sword" by Michael Moorcock featured a ring-shaped set of planes where the inhabitants kept complex charts to keep track of the shifting portals that connected them. A race of bearlike scholars - the Ursine Sages - is one of the best sources for these charts; they remind me somewhat of the ursinals. Moorcock's Elric books are a definite inspiration, since that's where the elemental planes and elemental rulers came from, and the word "multiverse," as well as the concept of Law and Chaos as forces independent from Good and Evil. Michael Moorcock got the idea of Law and Chaos as these huge antagonistic forces that drive entire races and worlds in vast cycles from Poul Anderson's "Three Hearts and Three Lions," but he transformed it and stripped away the moral bias, and created a more complex multiverse as his writing progressed. Those are influences to D&D in general, though, not just Planescape.
Specific inspirations that David Cook has admitted to are listed on the Planescape Inspirations site: lots of Borges and Calvino, the movies "City of Lost Children," Un perro andaluz, and Orphee, and Giovanni Piranesi. Colin McComb's influences include Nine Inch Nails, Joel Peter Witkin, the movies Hellraiser I and II (source of the kytons) and Swimming With Sharks. Tony DiTerlizzi has his own influences, including Brian Froud and a bunch of other people who used to be listed on his website, but I can't find any list of his influences there anymore.
Monte Cook has cited the Chronicles of Thomas Covenant the Unbeliever by Stephen R. Donaldson as a major influence on his work in general, not necessarily Planescape specifically.
Obvious RPG predecessors to Planescape include the 1st edition Manual of the Planes, "For Faerie, Queen, and Country" by David Cook and Carl Sargent (the origin of the cant and the tiefling traits table, especially), and "Vampire: the Masquerade" for its idea of player factions (also used in every other World of Darkness setting).