0.7 The Extended Real Number System
We briefly talk about materials in elementary real analysis. We will not prove those properties (see elementary real analysis textbook such ...
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We briefly talk about materials in elementary real analysis. We will not prove those properties (see elementary real analysis textbook such ...
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We begin by defining countable sets. A set $X$ is countable if $|X| \leq |\mathbb{N}|$. For finite sets, we denote $$ |X| = n \iff |X| = |\...
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Here, we define orderings (which are types of relations also) and fundamental theorems (Transfinite Induction and Bourbaki's Fixed Point...