power functor
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scholarly journals On the Derived Functors of the Third Symmetric-Power Functor

2009 ◽  
Vol 2 (0) ◽  
pp. 19-39
Author(s):  
Bernhard Köck ◽  
Ramesh Satkurunath
Keyword(s):  
Symmetric Power ◽  
The Third ◽  
Derived Functors ◽  
Power Functor

A multiplicative normal functor is a power functor

1987 ◽  
Vol 41 (1) ◽  
pp. 58-61 ◽  
Author(s):  
M. M. Zarichnyi
Keyword(s):  
Normal Functor ◽  
Power Functor

scholarly journals Serre classes for toposes

1982 ◽  
Vol 25 (1) ◽  
pp. 103-115 ◽  
Author(s):  
M. Adelman ◽  
P.T. Johnstone
Keyword(s):  
Power Functor

We prove first that a logical fraction functor from a topos to a topos must be a filter-power functor, then we prove that such functors can have adjoints only when the filter is principal. Finally we refine this so that we are able to prove that the filter-power of a Grothendieck topos is Grothendieck if and only if the filter is principal.

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