From: Bas Spitters <email@example.com> To: homotopytypetheory <firstname.lastname@example.org> Subject: [HoTT] Joyal's definition of elementary higher topos Date: Fri, 21 Feb 2020 14:23:37 +0100 Message-ID: <CAOoPQuQc317E8qUEOWJ2JQD_iXAFyE=Wcttruqd5A8tRpHqttg@mail.gmail.com> (raw) In 2014, Andra Joyal proposed a definition of an elementary higher topos. "This lecture contains a proposed definition that is not an (∞,1)-category but a presentation of one by a model category-like structure; this is closer to the type theory, but further from the intended examples. In particular, there are unresolved coherence questions even as to whether every Grothendieck (∞,1)-topos can be presented by a model in Joyal’s sense (in particular, how strict can a universe be made, and can the natural numbers object be made fibrant)." https://ncatlab.org/nlab/show/elementary+%28infinity%2C1%29-topos Has there been any progress on these coherence questions? -- You received this message because you are subscribed to the Google Groups "Homotopy Type Theory" group. To unsubscribe from this group and stop receiving emails from it, send an email to HomotopyTypeTheoryemail@example.com. To view this discussion on the web visit https://groups.google.com/d/msgid/HomotopyTypeTheory/CAOoPQuQc317E8qUEOWJ2JQD_iXAFyE%3DWcttruqd5A8tRpHqttg%40mail.gmail.com.
next reply index Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top 2020-02-21 13:23 Bas Spitters [this message] 2020-02-21 22:13 ` Michael Shulman 2020-02-23 23:56 ` Michael Shulman
Reply instructions: You may reply publicly to this message via plain-text email using any one of the following methods: * Save the following mbox file, import it into your mail client, and reply-to-all from there: mbox Avoid top-posting and favor interleaved quoting: https://en.wikipedia.org/wiki/Posting_style#Interleaved_style * Reply using the --to, --cc, and --in-reply-to switches of git-send-email(1): git send-email \ --in-reply-to='CAOoPQuQc317E8qUEOWJ2JQD_iXAFyE=Wcttruqd5A8tRpHqttg@mail.gmail.com' \ --firstname.lastname@example.org \ --email@example.com \ /path/to/YOUR_REPLY https://kernel.org/pub/software/scm/git/docs/git-send-email.html * If your mail client supports setting the In-Reply-To header via mailto: links, try the mailto: link
Discussion of Homotopy Type Theory and Univalent Foundations Archives are clonable: git clone --mirror http://inbox.vuxu.org/hott Example config snippet for mirrors Newsgroup available over NNTP: nntp://inbox.vuxu.org/vuxu.archive.hott AGPL code for this site: git clone https://public-inbox.org/public-inbox.git