Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)

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Sujet : Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 02. Nov 2024, 18:36:28
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vg5nus$3s1gf$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
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On 02.11.2024 13:30, joes wrote:
Am Fri, 01 Nov 2024 11:07:27 +0100 schrieb WM:
On 31.10.2024 21:46, joes wrote:

In the case of NUF, that value is infinite everywhere except at 0.
If NUF(x) has grown to ℵ₀ at x₀, then ℵ₀ unit fractions must be between 0 and x₀. Hence at least ℵ₀ points with ℵ₀ intervals of uncountably many points must be between 0 and x₀. That cannot happen at x₀ = 0.
Regards, WM

Date Sujet#  Auteur
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