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some silly comment about irreducible scheme

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jazzrice United States17 Posts June 26 2008 02:34 GMT #1 X an arbitrary irreducible scheme, and forget its structural sheaf for the moment (i.e. just consider it as a topological space with its Zariski topology). Then X is simply-connected topologically (not etale-fundamental group, just the elementary fundamental group one learns in a basic course in algebraic topology). In fact, X is n-connected. I feel like this little comment should be included when one first learns arithmetic fundamental groups. I didn't know about this until just recently.

Reflex Canada703 Posts June 26 2008 03:07 GMT #2 You're silly billy!

Wizard Poland5055 Posts June 26 2008 03:18 GMT #3 ok

gotwater United States179 Posts June 26 2008 03:36 GMT #4 i concur

Jonoman92 United States9105 Posts June 26 2008 04:14 GMT #5 For all I know you could be talking in gibberish or something.

Muirhead United States556 Posts June 26 2008 05:28 GMT #6 Hm can you give an example of how standard algebraic topology on something that is not a CW Complex or even Hausdorff tells something useful?

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