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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Tue, 10 Sep 2024 21:10:46 +0200
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On 10.09.2024 14:07, Richard Damon wrote:

> A GIVEN infinte set of unit fractions will have a total. length of d, 
> but by just removing a finite number of the largest elements, you still 
> have an infinite set, and the size of that new set can be made as small 
> as you want (as long as that value is actually > 0)

Do countably many points exist as a subdistance of every distance of 
uncountably many points, like the gaps between two unit fractions?

 > The size of that new set can be made as small as you want

Even when the size is only countably many points?

Regards, WM