- #1

mathsss2

- 38

- 0

(a) [tex]\{f \in \prod_{n \in \omega} X_n | f(10) = 0 \}[/tex]

(b) [tex]\{f \in \prod_{n \in \omega} X_n | \text{ }\exists n \in \omega \text{ }f(n) = 0 \}[/tex]

(c) [tex]\{f \in \prod_{n \in \omega} X_n | \text{ }\forall n \in \omega \text{ }f(n) = 0 \Rightarrow f(n + 1) = 1 \}[/tex]

(d) [tex]\{f \in \prod_{n \in \omega} X_n | \text{ }|\{ n \in \omega | f(n) = 0 \}| = 5 \}[/tex]

(e)[tex]\{f \in \prod_{n \in \omega} X_n | \text{ }|\{ n \in \omega | f(n) = 0 \}|\leq5 \}[/tex]