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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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Here, we define orderings (which are types of relations also) and fundamental theorems (Transfinite Induction and Bourbaki's Fixed Point...
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Now we discuss fundamental axiom of set theory - Axiom of Choice. The following are equivalent. (The Hausdorff Maximal Principle). Eve...
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It is assumed that the reader is familiar with the basic concepts of set theory; the following discussion is meant mainly to fix our termino...
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