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Timeline for Geometry of the Hilbert sphere

Current License: CC BY-SA 3.0

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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
Nov 2, 2011 at 1:06 history answered Bill Johnson CC BY-SA 3.0