Talk:Nerve of an open covering

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I rather dispute the 'clarity' of using more mathematical symbols here. In fact this really has served only to compress things (and add symbols that can't be read by my browser). Substituting symbols for words msut be used with care.

Charles Matthews 13:02, 10 Apr 2004 (UTC)

[edit] homotopy equivalence

Is it true that if all intersections are contratible then nerve is homotopy equivalent to original space? Tosha 17:40, 13 July 2006 (UTC)

Yes, it seems so. It's mentioned at [[1]], there without proof. -- Jakob.scholbach 06:01, 4 November 2006 (UTC) A proof is given in Hatchers Book on algebraic topology, chapter 4G. -- Jakob.scholbach 17:50, 6 November 2006 (UTC)