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The completeness axiom guarantees that every nonempty set of real numbers that is bounded above has a least upper bound in the real numbers.
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The completeness axiom guarantees that every nonempty set of real numbers that is bounded above has a least upper bound in the real numbers.
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Related words
completeness axiom
Noun
Japanese Meaning
順序体において、任意の部分集合が上界を持つ場合、その部分集合の最小の上界（すなわち上限）が必ず存在し、さらにその上限が順序体の要素であることを定めた公理
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