chapter  13
Luzin sets, Sierpiński sets, and their applications
ByGilbert W. Bassett Jr., Roger Koenker
Pages 20

This chapter is devoted to the so-called Luzin subsets of the real line R $\mathbf{R}$ and to the Sierpiński subsets of R. These sets are useful in various questions of real analysis and measure theory. Also, they have a number of applications in modern set theory (in particular, in constructing some special models of ZFC theory) and in certain topics of general topology.