Timeline for Cryptomorphisms
Current License: CC BY-SA 2.5
10 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Aug 12, 2014 at 14:39 | comment | added | Lutz Mattner | I can't see how any of the examples in the answer fits into the concept of cryptomorphism as defined (@Gerald: "formally", contrary to what Wikipedia states at least today) in G. Birkhoff's Lattice Theory, 3rd. ed. 1967, 7th corrected printing 1993, p. 154. It appears there in the chapter on universal algebra. I wonder why this concept, or some improvement of it, is not presented more regularly in algebra texts. | |
| Feb 20, 2010 at 18:53 | vote | accept | Tony Huynh | ||
| Feb 19, 2010 at 22:29 | history | edited | Pete L. Clark | CC BY-SA 2.5 |
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| Feb 19, 2010 at 22:26 | comment | added | Pete L. Clark | @Gerald: thanks. I didn't know that. I didn't quite claim that the usage was original to Rota, but still it will be an improvement to mention Birkhoff. I'll do xo. | |
| Feb 19, 2010 at 19:17 | comment | added | Gerald Edgar | cryptomorphism ... I heard it from Garrett Birkhoff and had the impression it was his coinage. From Wikipedia: "The word was coined by Garrett Birkhoff before 1967, for use in the third edition of his book Lattice Theory." | |
| Feb 19, 2010 at 18:50 | comment | added | Tony Huynh | Nice answer Pete. Your determinant example made me ponder if cryptomorphisms are simply different ways to think about the same thing. The latter is somehow a bit more meta than I originally intended, but I think it gets to the heart of the matter. Along these lines there is the Von Neumann bicommutant theorem, which gives one two equivalent ways to think about bounded operators on a Hilbert space (algebraically or topologically). | |
| Feb 19, 2010 at 6:29 | history | made wiki | Post Made Community Wiki by Anton Geraschenko | ||
| Feb 19, 2010 at 2:05 | history | edited | Pete L. Clark | CC BY-SA 2.5 |
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| Feb 18, 2010 at 20:10 | history | answered | Pete L. Clark | CC BY-SA 2.5 |