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Cross-references: terms, proper class, surreal numbers, subfield, David Hilbert, completion, Dedekind complete, archimedean, characterisation, topology, uniform structure, subtraction, operations, group, ordered group, structure, lattice, even, sums, exponential function, series, Calculus, square root, rationals, convergent, converse, convergent sequence, easy to see, converges, eventually, elements, distance, integer, section, order, uniform spaces, metric spaces, complete, limits, contain, field, isomorphism, Dedekind cuts, infinite, decimal point, every ordered field with the least upper bound property is isomorphic to the real numbers, lowest upper bound, upper bound, subset, least upper bound property, ordered field, represent, well-defined, ordering relation, multiplication, addition, ring, interleave sequence, equivalence relation, equivalence classes, absolute value, natural number, rational number, property, sequence, rational numbers, Cauchy sequence, definitions, equivalent
There are 1034 references to this entry.
This is version 18 of real number, born on 2001-10-21, modified 2007-03-16.
Object id is 454, canonical name is RealNumber.
Accessed 82108 times total.
Classification:
| AMS MSC: | 12D99 (Field theory and polynomials :: Real and complex fields :: Miscellaneous) | | | 26-00 (Real functions :: General reference works ) | | | 54C30 (General topology :: Maps and general types of spaces defined by maps :: Real-valued functions) |
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Pending Errata and Addenda
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