- #1

AndreasC

Gold Member

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Here are most of the subjects the class covers to give you a better idea:

Peano axioms, Properties of real and natural numbers, Dedekind cuts, metric space definitions, examples and metrics in vector spaces defined by norms, open and closed subsets of metric spaces, equivalent metrics, countable and uncountable sets, Zorn lemma, metric space completeness, Baire theorem, C[a, b] spaces, Arzela theorem, products of metric spaces, Cantor set etc.