Timeline for Geometry of the Hilbert sphere
Current License: CC BY-SA 3.0
12 events
when toggle format | what | by | license | comment | |
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Nov 2, 2011 at 19:01 | comment | added | Bill Johnson | I meant radius; not diameter. All slices $S(x,r)$ should have $r$ non negative and at least one $r$ should be positive. | |
Nov 2, 2011 at 16:25 | comment | added | TCL | In fact, it is enough to assume that the sequence is contained in a closed ball of radius less than $\pi/2$. | |
Nov 2, 2011 at 16:09 | comment | added | TCL | That is correct. I also observe that. | |
Nov 2, 2011 at 14:43 | comment | added | Bill Johnson | @TCL: Diameters $\le \pi/2$ are OK as long as at least one has diameter strictly less than $\pi/2$. | |
Nov 2, 2011 at 11:17 | vote | accept | TCL | ||
Nov 2, 2011 at 11:17 | comment | added | TCL | The idea works for closed geodesic convex subsets of $X$ with diameter $\le k<\pi/2$. | |
Nov 2, 2011 at 2:46 | comment | added | Bill Johnson | Good, then I won't think about the general case. | |
Nov 2, 2011 at 2:03 | comment | added | TCL | @Anton. You are right. $r>0$ is what I need. | |
Nov 2, 2011 at 1:49 | comment | added | Anton Petrunin | @TCL, it works only for $r>0$. | |
Nov 2, 2011 at 1:35 | comment | added | TCL | @Bill. Fortunately, for my purpose $r\ge 0$ is what I need. Thank you. | |
Nov 2, 2011 at 1:19 | history | edited | Bill Johnson | CC BY-SA 3.0 |
added 117 characters in body
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Nov 2, 2011 at 1:06 | history | answered | Bill Johnson | CC BY-SA 3.0 |