Real Analysis
Emmanuele DiBenedetto · Birkhäuser Boston eBooks · 2002
PreliminariesCountable sets 2 The Cantor set 3 Cardinality.. 3.1 Some examples 4 Cardinality of some infinite Cartesian products 5 Orderings, the maximal principle, and the axiom of choice 6 Well-ordering....... 6.1 The first uncountable Problems and Complements I Topologies and Metric Spaces Topological spaces . . . . . .1.1 Hausdorff and normal spaces . 2 Urysohn's lemma . . . . . . . . . . 3 The Tietze extension theorem 4 Bases, axioms of countability, and product topologies.4.1 Product topologies . . . .