Timeline for Unifying categorical equivalences and dualities for the functors : Gelfand spectrum and Zariski spectrum, Structural sheaf and Continuous sections
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 19, 2023 at 6:09 | vote | accept | Julien Dalpayrat-Glutron | ||
| Apr 12, 2023 at 17:33 | comment | added | მამუკა ჯიბლაძე | Closely related is the concept of multiadjoint by Yves Diers. As for Cole's paper, on Google Scholar it is shown to be cited by 33 works, many of which extend and detalize Cole's theory of spectra. Some of these works also develop further the approach of Diers. | |
| Apr 12, 2023 at 17:30 | comment | added | მამუკა ჯიბლაძე | Author's note. The present appearance of this paper is largely due to Olivia Caramello's tracking down a citation of Michel Coste which refers to this paper as “to appear...”. This “reprint” is in fact the first time it has been published–after more than 35 years! My apologies for lateness therefore go to Michel, and my thanks to Olivia! Thanks also to Anna Carla Russo who did the typesetting, and to Tim Porter who remembered how to contact me. The “spectra” referred to in the title are right adjoints to forgetful functors between categories of … | |
| Apr 12, 2023 at 17:29 | comment | added | მამუკა ჯიბლაძე | An outline of the general theory of spectra can be found in Johnstone's 1977 "Topos Theory" (end of section 6.5 about geometric theories, specifically Theorem 6.57 and several subsequent paragraphs). He refers to still earlier work by J. C. Cole "The bicategory of topoi, and spectra". The paper seems to have been forgotten for more than 30 years! Interestingly, if you look for it in Google Scholar, it comes with the beginning of author's note which I could not extract fully. Here is what I have been able to recover: | |
| Apr 12, 2023 at 15:03 | history | answered | Dmitri Pavlov | CC BY-SA 4.0 |