From: Andrej Bauer <andrej...@andrej.com>
To: Homotopy Type Theory <HomotopyT...@googlegroups.com>
Subject: Re: [HoTT] Non-enumerability of R
Date: Sun, 16 Jul 2017 09:11:18 +0100 [thread overview]
Message-ID: <CAB0nkh3PNghRL2+cNWnUU=Zy60c6R1Ypw6b6Zndwewc6T71c_g@mail.gmail.com> (raw)
In-Reply-To: <CAB0nkh3cXQN46Nx6s_FsYiNQJ=bUOYS7QfcBThUFdkpb0=vbGQ@mail.gmail.com>
> One then appeals to density of this set by the Stone-Weierstraß theorem: for every continuous function on every open
> set there is some polynomial in P which intersects its graph, hence R \ P is empty.
In fact, no appeal to Stone-Weierstraß is needed, because that one is
about *uniform* approximation of functions, whereas we only need local
approximation. Yes?
next prev parent reply other threads:[~2017-07-16 8:11 UTC|newest]
Thread overview: 9+ messages / expand[flat|nested] mbox.gz Atom feed top
2017-07-12 9:04 Andrej Bauer
2017-07-12 21:16 ` Andrew Swan
2017-07-16 8:09 ` [HoTT] " Andrej Bauer
2017-07-16 8:11 ` Andrej Bauer [this message]
2017-07-16 18:35 ` Bas Spitters
2017-07-17 13:52 ` Andrej Bauer
2017-07-18 7:54 ` Thomas Streicher
2017-07-18 14:41 ` Nicolai Kraus
2017-07-18 15:28 ` Gaetan Gilbert
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