Abstract
Let f be an ℝ-valued function defined on an open interval (a, b) of ℝ. In passing to *ℝ, we may regard f as being defined for all hyperreal x between a and b, since *(a, b) = {x ∈ *ℝ: a > x > b}.
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© 1998 Springer-Verlag Berlin Heidelberg
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Goldblatt, R. (1998). Continuous Functions. 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_7
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DOI: https://doi.org/10.1007/978-1-4612-0615-6_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6841-3
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