Category:Uncountable Product Space of Positive Integers
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This category contains results about Uncountable Product Space of Positive Integers.
Let $Z = \struct {\Z_{\ge 0}, \tau_d}$ denote the positive integers with the discrete topology.
Let $A$ be an uncountable set with cardinality $\lambda$.
Let $X_\lambda = \ds \struct {\prod_{\alpha \mathop \in A} Z_\alpha, \tau}$ be the space formed on the countable Cartesian product of instances of $Z$ such that $\tau$ is the Tychonoff product topology.
Then $X$ is known as the uncountable product space of $Z_{\ge 0}$.
Thus $\tau$ can be referred to as the uncountable product topology of $Z_{\ge 0}$.
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