Abstract
Let ℕ = {1, 2,…}, and let ℝℕ be the set of all sequences of real numbers. A typical member of ℝℕ has the form r = 〈r1,r2,r3,… 〉, which may be denoted more briefly as 〈r n : n ∈ ℕ〉 or just 〈r n 〉.
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© 1998 Springer-Verlag Berlin Heidelberg
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Goldblatt, R. (1998). Ultrapower Construction of the Hyperreals. In: Lectures on the Hyperreals. Graduate Texts in Mathematics, vol 188. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0615-6_3
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DOI: https://doi.org/10.1007/978-1-4612-0615-6_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6841-3
Online ISBN: 978-1-4612-0615-6
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