From mboxrd@z Thu Jan 1 00:00:00 1970 Date: Tue, 17 Oct 2017 09:39:37 -0700 (PDT) From: du yu To: Homotopy Type Theory Message-Id: Subject: The Interval type in Hott vs. in real analysis MIME-Version: 1.0 Content-Type: multipart/mixed; boundary="----=_Part_21057_408762199.1508258377987" ------=_Part_21057_408762199.1508258377987 Content-Type: multipart/alternative; boundary="----=_Part_21058_98293831.1508258377987" ------=_Part_21058_98293831.1508258377987 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 7bit I have seen the definition of Interval type [0,1] in HoTT book as higher inductive type and in cubical type theory as De-morgan algebra, and in real analysis there exists continuous function from [0,1] to Real,which means [0,1] is equivalent to R . How are these thing relate to each other? ------=_Part_21058_98293831.1508258377987 Content-Type: text/html; charset=utf-8 Content-Transfer-Encoding: 7bit
I have seen the definition of Interval type [0,1] in HoTT book as higher inductive type and in cubical type theory as De-morgan algebra, and in real analysis there exists continuous function from [0,1] to Real,which means [0,1] is equivalent to R . How are these thing relate to each other?
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