Timeline for Universal etale covering, reference request
Current License: CC BY-SA 3.0
6 events
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May 13, 2014 at 0:57 | answer | added | S. Carnahan♦ | timeline score: 1 | |
May 9, 2014 at 22:40 | history | edited | Kevin.lijh | CC BY-SA 3.0 |
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May 9, 2014 at 22:03 | comment | added | Will Chen | Well any definition of a universal etale cover will generally not be finite. In your setting the universal etale cover is probably referring to the inverse limit over all finite etale covers, or perhaps the pro-object described by the inverse system over all finite etale covers, so if your space admits covers of arbitrarily large degree, this "universal cover" won't be finite. This is described in SGA 1, section V (though in french). The universal cover is described as the "pro-objet fondamental". | |
May 9, 2014 at 20:36 | history | edited | Ricardo Andrade |
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May 9, 2014 at 20:31 | history | edited | Kevin.lijh | CC BY-SA 3.0 |
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May 9, 2014 at 20:21 | history | asked | Kevin.lijh | CC BY-SA 3.0 |