Timeline for Does a rank 1 CAT(0) space with a proper cocompact group action contain a zero width axis?
Current License: CC BY-SA 4.0
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| Aug 12, 2020 at 9:47 | history | edited | AGenevois | CC BY-SA 4.0 |
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| Aug 12, 2020 at 9:45 | comment | added | AGenevois | The question has a positive answer at least for CAT(0) cube complexes. Caprace and Sageev constructed isometries skewering pairs of strongly separated hyperplanes, and the axis of such an isometry must have zero width. | |
| Aug 12, 2020 at 6:10 | history | edited | HJRW |
Added arXiv tag.
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| Jul 14, 2020 at 8:42 | comment | added | Ian Agol | Good point, thanks, I assumed I was missing something. | |
| Jul 14, 2020 at 5:17 | comment | added | Yellow Pig | I believe this would not be geodesically complete--not all geodesic segments would be extendible to infinity | |
| Jul 14, 2020 at 5:07 | comment | added | Ian Agol | Maybe this is built in to your definition, but do you want to assume that $X$ is irreducible? Otherwise I think you can just take a product with an interval to get a counterexample (and to Ricks' theorem). | |
| Jul 14, 2020 at 0:59 | history | edited | Yellow Pig | CC BY-SA 4.0 |
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| Jul 13, 2020 at 23:45 | history | asked | Yellow Pig | CC BY-SA 4.0 |