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Superreal Number
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Geliefert zwischen Mi., 28.01.2026 und Do., 29.01.2026
Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Suppose X is a Tychonoff space, also called a T3.5 space, and C(X) is the algebra of continuous real-valued functions on X. Suppose P is a prime ideal in C(X). Then the factor algebra A = C(X)/P is by definition an integral domain which is a real algebra and which can be seen to be totally ordered. The field of fractions F of A is a superreal field if F strictly contains the real numbers Bbb{R}, so that F is not order isomorphic to Bbb{R}. If the prime ideal P is a maximal ideal, then F is a field of hyperreal numbers. The terminology is due to Dales and Woodin. Dales and Woodin''s supperreals are different from super-real numbers of David O. Tall, which are lexicographically ordered fractions of formal power series over the reals.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131271366
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131271366
- Format Fachbuch
- Titel Superreal Number
- Herausgeber Betascript Publishing
- Anzahl Seiten 84
- Genre Mathematik
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