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Path: ...!news.roellig-ltd.de!open-news-network.org!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Mon, 21 Oct 2024 12:01:35 +0200 Organization: A noiseless patient Spider Lines: 12 Message-ID: <vf58pv$t8hc$2@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <68b8be64-7fe8-47e7-a991-7adf14713af5@att.net> <vejmkm$e069$1@solani.org> <eb21591a-a60a-4baf-bdbd-afef2a69c230@att.net> <vejte9$e3ds$1@solani.org> <53460f91-4542-4a92-bc4b-833c2ad61e52@att.net> <ventec$255vi$2@dont-email.me> <venunr$2533b$4@dont-email.me> <29ce40e9-f18a-44d4-84d9-23e587cf9dea@att.net> <veor6u$2asus$1@dont-email.me> <2b6f9104-a927-49ee-9cf0-6ee3f82edc23@att.net> <verkkk$2r6kk$1@dont-email.me> <22f95ff7-c361-4d8a-943c-1df76abb98cc@att.net> <vevpsl$3pi3s$2@dont-email.me> <ed1862ff-3679-4175-bb25-c317be9713b2@att.net> <vf0t7i$3v3cv$5@dont-email.me> <9c55eda1-bb24-44ae-9158-2a3b354170cd@att.net> <vf2ck9$amc3$1@dont-email.me> <30b58bd38b2264ae8ca180a544cc88ee34c6d8fa@i2pn2.org> <vf33u8$eisc$1@dont-email.me> <c4edfd4625822f1af9a40daf028fbbd5aab4a225@i2pn2.org> <vf3mts$i1ai$1@dont-email.me> <45df31bad2d3e517cb48ab1f0eb7ff6f80999bf3@i2pn2.org> <vf526v$s8qs$2@dont-email.me> <vf56f2$svda$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Mon, 21 Oct 2024 12:01:35 +0200 (CEST) Injection-Info: dont-email.me; posting-host="442d186c4da456090a2bd12bd77293b2"; logging-data="959020"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+SnYKZzpOmAHb6P7Gd5z60BRSzEU9BHl0=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:ZVu6c+CHbbJr/l5NoFSZQdzaopE= Content-Language: en-US In-Reply-To: <vf56f2$svda$1@dont-email.me> Bytes: 2382 On 21.10.2024 11:21, FromTheRafters wrote: > WM brought next idea : >> If the range was complete, the image shows that the range was not >> complete. > > What's the preimage? The range. It is a complete set by assumption. All its numbers can be mapped, some of them not to the preimage. Regards, WM