
6 Introduction
If we apply this definition to all operations ı of M , the structure of the power set
fPM ,
PM g can be derived from the structure fM , M g. By this application, arithmetic
operations and a corresponding structure are defined on the power sets of the spaces
R, V R, M R, C, V C,andM C, the sets of the first column of Figure 1.
In brief, the operations and the structure fM ,
M g of the leftmost space of every
row in Figure 1 are always known. These operations and structures can be used to
define and derive the operations and structures of the thirty remaining spaces. This
need not be done for each subset space individually. Instead we do this ...