Now prove or disprove that R^n can be related to R^(n-1) in the following fashion:
There exists x in R^(n-1) and 1-1 f(x) s.t. f(x)=r is not a member of R^(n-1) (and is not infinite!).
Furthermore f^(-1)(r)=x
Example:
Find a 1-1 f(x) that could generate an imaginary number relative to Z (call it j).
There exists x in R^(n-1) and 1-1 f(x) s.t. f(x)=r is not a member of R^(n-1) (and is not infinite!).
Furthermore f^(-1)(r)=x
Example:
Find a 1-1 f(x) that could generate an imaginary number relative to Z (call it j).