General (a.k.a. point-set) topology

Willard, General topology

Bourbaki, General topology (Chaps 1-4 and Chaps 5-10)

Engelking, General topology

Arhangelskii, General topology, vols 1-3

Kuhnen and Vaughan (eds), Handbook of set-theoretic topology

Hart et al, Encyclopedia of general topology