Nikodym's name is mostly known in measure theory (e. g. the Radon -Nikodym theorem and derivative, the Nikodym convergence theorem, the Nikodym- Grothendieck boundedness theorem), in functional analysis (the Radon -Nikodym property of a Banach space, the Frechet -Nikodym metric space, a Nikodym set), projections onto convex sets with applications to Dirichlet problem, generalized solutions of differential equations, descriptive set theory and the foundations of quantum mechanics .
Nikodym ang pangalan ay mas kilala sa sukatin theory (hal. ang reydon-Nikodym teorama at hango, ang Nikodym tagpo teorama, ang Nikodym-Grothendieck boundedness teorama), sa functional analysis (ang reydon-Nikodym ari-arian ng isang Banach space, ang Frechet-Nikodym panukat space, isang Nikodym set), projections papunta sa matambok set sa mga aplikasyon sa Dirichlet problema, pangkalahatan solusyon ng mga kaugalian equation, naglalarawan set teorya at ang pundasyon ng quantum mechanics.