This work generalises classical problems in differential geometry . Aleksandrov's doctoral thesis (more of a habilitation thesis) was presented in 1937 and in it he studied the topics of additive set functions and the geometrical theory of weak convergence.
Ito gumagana generalises pangunahin problema sa kaugalian geometry. Aleksandrov ng doktor tisis (higit pa sa isang habilitation sanaysay) ay ipinapahayag sa 1937 at sa mga ito-aral siya ng mga paksa ng additive set function at ang heometriko teorya ng mahina tagpo.