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A note on the notion ”much bigger”. (Italian. English summary) Zbl 0567.06003

In this paper we consider the property of being almost total of the partial ordering much bigger of R. Spigler [ibid. 63, 27-39 (1980; Zbl 0406.06003)]. Furthermore we present a variant of the same notion of much bigger and finally we make this notion absolute using the methods of non standard analysis, getting a comparison with the notion of limit.

MSC:

06A06 Partial orders, general
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References:

[1] M. Davis , Applied non standard analysis , Wiley , New York , 1977 . Zbl 0359.02060 · Zbl 0359.02060
[2] H.J. Keisler , Elementary calculus , Prindle Weber Schmidt , Boston , 1976 . Zbl 0325.26001 · Zbl 0325.26001
[3] R. Spigler , La struttura delle relazioni molto maggiore e molto minore nel calcolo approssimato , Rend. Sem. Mat. Univ. Padova , vol. 63 ( 1980 ), pp. 27 - 39 . Numdam | Zbl 0406.06003 · Zbl 0406.06003
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