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, 18:56:51
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On 02.11.2024 17:02, Richard Damon wrote:
On 11/2/24 6:23 AM, WM wrote:

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.
 Right, NUF(x)is 0 at x - 0, and Aleph_0 at any x > 0, since as you said, for any positive finite x, there are Aleph_0 unit fractions below it.
No, neither did I say so nor is it correct. Only for x > x₀ are ℵ₀ smaller unit fractions existing.
Regards, WM

Date Sujet#  Auteur
2 Sep 24 * How many different unit fractions are lessorequal than all unit fractions?2198WM
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