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Infinitesimals in nonstandard analysis versus infinitesimals in \(p\)-adic fields. (English) Zbl 1152.03332
Khrennikov, Andrei Yu (ed.) et al., \(p\)-adic mathematical physics. 2nd international conference, Belgrade, Serbia and Montenegro, 15–21 September 2005. Melville, NY: American Institute of Physics (AIP) (ISBN 0-7354-0318-X/hbk). AIP Conference Proceedings 826, 274-279 (2006).
Introduction: In general, infinite quantities reflect a certain non-Archimedean property of the underlying structure. For example, the fields of hyperreal numbers and \(p\)-adic numbers are non-Archimedean according to ordering and norm, respectively. We compare these structures in regard to the infinitesimal notions, construction and related transfer techniques.
For the entire collection see [Zbl 1153.81003].
MSC:
03H05 Nonstandard models in mathematics
12J25 Non-Archimedean valued fields
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