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MATH1090 · 4

Chapter outline · Order and completeness

Definitions and theorem statements recorded in the web, in note order, with the exact proof steps behind their recorded connections.

0 of 6 public sections have indexed statements. This outline covers only those statements, not every theorem in the chapter. Recorded connections are still being reviewed.

4.1

Total orders and ordered fields

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4.2

Upper bounds, supremum, and infimum

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4.3

Completeness and gaps in Q

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4.4

Axioms for the reals and first approximations

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4.5

Dedekind cuts and the embedding of Q

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4.6

Decimal expansions and irrational numbers

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