Sobolev spaces for planar domains: Difference between revisions

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In mathematics, a '''torsion sheaf''' is a [[sheaf (mathematics)|sheaf]] <math>\mathcal{F}</math> on a site for which, for every quasi-compact ''U'', the space of sections <math>\Gamma(U, \mathcal{F})</math> is a [[torsion group]]. Similarly, for a prime number ''l'', we say a sheaf <math>\mathcal{F}</math> is '''''l''-torsion''' if every section over any quasi-compact is killed by a power of&nbsp;''l''.
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A torsion sheaf on an étale site is the union of its [[constructible sheaf|constructible subsheaves]].<ref>{{harvnb|Milne|2012|loc=Remark 17.6}}</ref>
 
== Notes ==
{{reflist}}
 
== References ==
* [[James Milne (mathematician)|J. S. Milne]] (2012). "[http://www.jmilne.org/math/CourseNotes/LEC.pdf Lectures on Etale Cohomology]
* J. S. Milne, ''Étale Cohomology''
 
 
 
[[Category:Sheaf theory]]
 
 
{{math-stub}}

Revision as of 15:27, 1 March 2014

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