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6.2: Conjuntos Infinitos
https://espanol.libretexts.org/Matematicas/Logica_Matematica_y_Pruebas/Transici%C3%B3n_a_las_Matem%C3%A1ticas_Superiores_(Dumas_y_McCarthy)/06%3A_Cardinalidad/6.02%3A_Conjuntos_Infinitos
Ahora define\[\begin{aligned} X_{e} &=\{x \in X \mid m(x) \text { is even }\} \\ X_{o} &=\{x \in X \mid m(x) \text { is odd }\} \\ X_{i} &=\{x \in X \mid m(x)=\infty\} \\ Y_{e} &=\{y \in Y \mid m(y) \...Ahora define $\begin{aligned} X_{e} &=\{x \in X \mid m(x) \text { is even }\} \\ X_{o} &=\{x \in X \mid m(x) \text { is odd }\} \\ X_{i} &=\{x \in X \mid m(x)=\infty\} \\ Y_{e} &=\{y \in Y \mid m(y) \text { is even }\} \\ Y_{o} &=\{y \in Y \mid m(y) \text { is odd }\} \\ Y_{i} &=\{y \in Y \mid m(y)=\infty\} \end{aligned}$ La colección $\left\{X_{e}, X_{o}, X_{i}\right\}$ es obviamente una partición de $X$ .

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