Talk:Clutching construction

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I've never heard this term before. Can someone provide a reliable reference for this usage? Also, I don't really see the need for a whole separate article on this. Almost all of it is already in Alexander trick. --Chan-Ho (Talk) 23:21, 20 December 2006 (UTC)

I've definitely heard the term before, although usually in connection with constructing vector or principal bundles on the sphere. See Hatcher's (half written) book on Vector Bundles and K-theory for example. -- Fropuff 00:41, 24 December 2006 (UTC)

yeah, but I don't think anybody calls gluing together two balls "clutching construction". Basically it seems all the content should be wiped out and replaced with the valid use for constructing bundles. --Chan-Ho (Talk) 08:56, 22 January 2007 (UTC)

Agreed. (Sorry, I just came across this page, so I'm adding to the discussion a bit late.) A Google search didn't produce any results that I could find using the term to refer to gluing balls together. It's actually a bit misleading the way it's written on this page because it makes it sound like one might try to glue two seven-balls together along an S^6 to get the exotic spheres, which is not the way Milnor's examples are constructed. I'll put this page on my future (probably far-in-the-future) to-do list. VectorPosse 09:43, 1 March 2007 (UTC)

Hi -- I wrote this page (split off from Alexander trick), but I had confused twisted spheres with the clutching construction (in grad school we'd tended to abuse the term and referred to twisted spheres as a clutching construction). Thanks for pointing this out -- I've fixed it (by completely re-writing it and fixing twisted spheres in the process).

Nbarth 01:52, 2 March 2007 (UTC)

The section on the misuse of the term should be deleted. From what you say (and the lack of sources), it's basically a neologism. --Chan-Ho (Talk) 14:10, 4 March 2007 (UTC)