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

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Jan Bielawski

Posts: 5
Registered: 12/12/04
Re: Q: Group covers
Posted: Jun 17, 1996 8:59 PM
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In article <4pkm06$> (Dale W Hall) writes:
<In article <>, Jan Bielawski <> 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. )\._.,--....,'``. |
San Diego, CA /, _.. \ _\ ;`._ ,. | ph.: (619) 458-9990 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. +

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