Yes, not generalized to fractals but space. But the piece of text is not much worth on itself. Nothing is explained, no examples. The last words are a good indication for the rest of it:
So, Manolescu came up with a whole new invariant, which he calls just "beta." Using beta, he was able to show a necessary discontinuity in some spaces, e.g. where things just didn't line up. As such, these spaces were to shown to be indivisible in the most complete sense. There is always something left over.
Triangulation is a tool which can be used to calculate properties of spaces (real world example are the mesher programs in FEA methods). Now these triangles need to line up perfectly, and they won't allow rectangles or other shapes. This is no law, this is just convention. Now insert the meaning of "triangulation" into words like "cutting" and "splitting", after which you can say nonsense like "There Are Spaces That Cannot Be Divided" and allow the things to get stretched out of context even further. Just get me a piece of pie in whatever shape you like and a sharp knife ...
August 26, 2011, 06:28:00 AM
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