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Re: Q: Group covers
Posted:
Jun 17, 1996 8:59 PM


In article <4pkm06$svj@lynx.dac.neu.edu> dahall@lynx.dac.neu.edu (Dale W Hall) writes: <In article <1996Jun7.212229.29936@msi.com>, Jan Bielawski <jpb@msi.com> wrote: <> <>One can think of a covering space of a given space as its "delooping," <>either partial or complete (that's the universal cover). If a space <>has a hole in it such that a loop exists around it which cannot <>be deformed continuously to its starting ( = ending) point than <>a covering space can be constructed with the hole "unraveled," < <While I appreciate the intuitive appeal of this language, I must point <out that the term "delooping" has already been appropriated, not only <within topology, but [as luck would have it] in areas that have close <connection with the present topic of topological groups. There is a <standard set of constructions involving the use of spaces comprising <paths of (various) restricted types on a given space X: [etc.]
You are right, the word wasn't a good choice! How about "unwrapping" instead, I think that's actually semiofficial, at least for abelian coverings a la Rolfsen's "Knots and Links."  Jan Bielawski Molecular Simulations, Inc. )\._.,....,'``.  http://www.msi.com San Diego, CA /, _.. \ _\ ;`._ ,.  ph.: (619) 4589990 jpb@msi.com fL `._.(,_..'(,_..'`.;.'  fax: (619) 4580136  #****************************************************************************# +DISCLAIMER: Unless indicated otherwise, everything in this note is personal + +opinion, and not an official statement of Molecular Simulations Inc. + #****************************************************************************#



