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My initial reaction is "No"
but you end up with several questions. (My husband was a topologist but also involved with C* algebras, whatever they are.)
Questions akin to the one about "If a tree falls in the woods and nobody hears it, is there a sound?" It depends on your precise definition of sound.
How much time? Does your question allow enough time for a bedsheet to have become rags? When it becomes rags, is it still a bedsheet? If so, then the answer is "Yes, a bedsheet can change topologically, over time." If not, then "No, a sheet is a sheet, for all time." Have you studied dimensionality yet?
posted by
WindTapper
on November 20, 2003 at 4:20 AM
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