Timeline for Ge-categories and applications
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jan 27, 2018 at 7:27 | history | edited | Martin Sleziak | CC BY-SA 3.0 |
added doi + link
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| Jan 8, 2018 at 13:56 | comment | added | user6976 | I do not know what $\infty$-categories are. Yes, I would like to know what results in homotopy theory were first proved using ge-categories. I would like to see any such result where the word "category" is not in the formulation. | |
| Jan 8, 2018 at 7:46 | history | edited | Tim Porter | CC BY-SA 3.0 |
added 402 characters in body
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| Jan 8, 2018 at 7:27 | comment | added | Tim Porter | Your comment about Cat(0) is interesting. How does this relate to more recent models for (cubical) $\infty$-categories? Any ideas? | |
| Jan 8, 2018 at 7:25 | comment | added | Tim Porter | Mark: your question "what results in homotopy theory were proved using ge-categories?" could perhaps be refined to say : "what results in homotopy theory were first proved using ge-categories?" I answered a slightly different interpretation of it ,namely "what results in homotopy theory can be proved using ge-categories?" Which comes down to be a question about what `homotopy theory' is to mean in this setting. | |
| Jan 7, 2018 at 11:25 | comment | added | user6976 | The comment about the cube structure is interesting although you did not seem to mention in the book that the universal cover of the cube complex you produce is CAT(0) (at least in the ge-category case). It was noticed at the end of the 90s by Dan Farley. | |
| Jan 7, 2018 at 11:12 | comment | added | user6976 | About "nowadays", the paper I mentioned above is published last year. My question is still open "what results in homotopy theory were proved using ge-categories?" The paper by Fantham and Moore is about reformulation of old results in the new language. Or did I miss any new results in that paper? Perhaps I had to say explicitly that I am interested in new results. | |
| Jan 7, 2018 at 6:42 | history | answered | Tim Porter | CC BY-SA 3.0 |