Analysis - Cardinality, Countable Set and Uncountable Set

Описание к видео Analysis - Cardinality, Countable Set and Uncountable Set

- Let U be a collection of pairwise disjoint open intervals. That is, members of U are open intervals in R and any two distinct members of U are disjoint. Show that U is countable.
- Let G be the set of all open intervals with rational endpoints. Show that G is countable.
- Let A be the set of all sequences whose terms are the digits 0 and 1. Show that A is uncountable.

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