Timeline for What is so "spectral" about spectra?
Current License: CC BY-SA 2.5
7 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Jul 9, 2011 at 9:04 | vote | accept | Martin Brandenburg | ||
| Apr 19, 2011 at 14:19 | comment | added | Marc Palm | I always thought that the terminology "spectrum" in algebraic geometry and operator theory has been chosen because of the analogy between the Gelfand Naimark construction for commutative $C^*$ algebras and the way we represent varieties in terms of algebra hom's. Does the above construction of the spectra not realize a similar construction for the homotopy functor? | |
| May 10, 2010 at 16:58 | comment | added | Lennart Meier | To your other questions: there are of course articles, where several meanings of spectra are used, say in derived algebraic geometry or more generally in modern stable homotopy theory or also in K-Theory stuff, which can be defined by operators. But I don't think the topological meaning has a real mathematical relationship to the other meanings. | |
| May 10, 2010 at 16:57 | comment | added | Lennart Meier | Although I've been using spectra for some time now, I have never read or heard why this name was chosen, even in a history text like May's math.uiuc.edu/K-theory/0321/history.pdf . As described there, the concept of a spectrum has its origin in Lima's thesis. Perhaps one should have a look there. | |
| May 10, 2010 at 14:06 | answer | added | Qfwfq | timeline score: 8 | |
| May 10, 2010 at 12:08 | history | asked | Martin Brandenburg | CC BY-SA 2.5 |