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Topic: Q: Group covers
Replies: 2   Last Post: Jun 18, 1996 12:50 AM

 Messages: [ Previous | Next ]
 Jan Bielawski Posts: 5 Registered: 12/12/04
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 semi-official, 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) 458-9990
jpb@msi.com fL `._.-(,_..'--(,_..'`-.;.' | fax: (619) 458-0136
--

#****************************************************************************#
+DISCLAIMER: Unless indicated otherwise, everything in this note is personal +
+opinion, and not an official statement of Molecular Simulations Inc. +
#****************************************************************************#

Date Subject Author
6/17/96 Jan Bielawski
6/18/96 Dale W Hall