- #1
PCSL
- 146
- 0
Prove that [tex]f(\cap T_\alpha)=\cap f(T_\alpha)[/tex] for all choices of [tex](T_\alpha) \alpha \in \lambda[/tex] if and only if f is one-to-one.
I've been working on this on and off for a day and have nothing to show for it... Any help pointing me in the right direction would be appreciated.
Also, more important then this question, can any of you recommend additional resources to review this type of stuff, mostly functions, order isomorphisms, etc. The book I am using does not give as many examples as I'd like.
I've been working on this on and off for a day and have nothing to show for it... Any help pointing me in the right direction would be appreciated.
Also, more important then this question, can any of you recommend additional resources to review this type of stuff, mostly functions, order isomorphisms, etc. The book I am using does not give as many examples as I'd like.