Please help me in understanding the difference between theorems 2.12 & 2.14 of Rudin's Principles of Mathematical Analysis.(adsbygoogle = window.adsbygoogle || []).push({});

Both are sets of sequences.

Set S in Th.2.12 is union of countable sequences

While set A in Th 2.14 is set of "all" sequences.

Is set A uncountable only because it has "all" sequences, whereas set A is countable because it does not have "all" sequences, but only countable sequences?

Thanks in advance.

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# Difference between theorems 2.12 & 214 of Baby Rudin

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