chapter  17
Sierpiński’s partition of the Euclidean plane
ByGilbert W. Bassett Jr., Roger Koenker
Pages 16

In this chapter we discuss several results and statements closely connected with Sierpiński’s partition of the Euclidean plane R 2 = R × R $ \mathbf{R}^{2} = \mathbf{R} \times \mathbf{R} $ . It turns out that these results and statements can be successfully applied in various fields of mathematics (especially, in real analysis, measure theory, and general topology).