Consider the Cartesian product Ax B, where A, B are finite nonempty sets, each with cardinality...

 

Transcribed Image Text:

Consider the Cartesian product Ax B, where A, B are finite nonempty sets, each with cardinality greater than 1. There are two functions called inclusions, with mapping rules i(a) = (a, b) and i(b) = (ao, b). What is the domain of i,? Of is? How about the target space of i, and i2 ? Are either of i, i one-to-one? Onto? Figure 3.30 Two possibly isomorphic infinite graphs. Figure 3.31 I'm Gl Consider the Cartesian product Ax B, where A, B are finite nonempty sets, each with cardinality greater than 1. There are two functions called inclusions, with mapping rules i(a) = (a, b) and i(b) = (ao, b). What is the domain of i,? Of is? How about the target space of i, and i2 ? Are either of i, i one-to-one? Onto? Figure 3.30 Two possibly isomorphic infinite graphs. Figure 3.31 I'm Gl