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Brown representability often fails for homotopy categories of complexes
Brown representability Adjoint functor Triangulated cate-gory
2011/2/22
We show that for the homotopy category K(Ab) of com-plexes of abelian groups, both Brown representability and Brown repre-sentability for the dual fail. We also provide an example of a localizing subc...
Some Applications of the Lattice Finite Representability in Spaces of Measurable Functions
Integral operators Ultraproducts of spaces and maps
2010/3/1
We study the lattice finite representability of the Bochner space Lp(m1,Lq(m2)) in \ellp{\ellq}, 1 \le p,q < \infty, and then we characterize the ideal of the operators which factor through a lattice ...