Discussion of Homotopy Type Theory and Univalent Foundations
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From: Andrej Bauer <andrej...@andrej.com>
To: Homotopy Type Theory <HomotopyT...@googlegroups.com>
Subject: Re: [HoTT] Non-enumerability of R
Date: Mon, 17 Jul 2017 15:52:28 +0200	[thread overview]
Message-ID: <CAB0nkh3Uus4a8ap1ak-Z=uq3V3r1yThPAVSq6sPf2m-zVaADdA@mail.gmail.com> (raw)
In-Reply-To: <CAB0nkh3PNghRL2+cNWnUU=Zy60c6R1Ypw6b6Zndwewc6T71c_g@mail.gmail.com>

> 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?

It's still easier than that, isn't it already the case that the
constant functions taking a rational value suffice? On every open
interval every continuous map intersects one of those.

  parent reply	other threads:[~2017-07-17 13:52 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
2017-07-16 18:35       ` Bas Spitters
2017-07-17 13:52       ` Andrej Bauer [this message]
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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