2.1 Weight-two complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 Beilinson-Lichtenbaum complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.3 Bloch’s cycle complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.4 Suslin homology and Friedlander-Suslin cohomology . . . . . . . . . . . . . 17 2.5 C...

Silica supported phosphomolybdic acid, an eco-friendly heterogeneous catalyst, has been found to be highly efficient for Friedlander synthesis of quinolines in excellent yields. A variety of ketones afford the quinolines smoothly. The catalyst can be easily recovered and reused.

Using the dual of Bousfield-Friedlander localization we colocalize resolution model structures on cosimplicial objects over a left proper model category to get truncated resolution model structures. These are useful to study realization and moduli problems in algebraic topology.

A group completion functor Q is constructed in the category of algebras in simplicial sets over a cofibrant En-operad M. It is shown that Q defines a Bousfield–Friedlander simplicial model category on M-algebras.

[7] Denis-Charles Cisinski. Les préfaisceaux comme modèles des types d'homotopie, volume 308 of Astérisque. [11] Eric M. Friedlander and Guido Mislin. Cohomology of classifying spaces of complex Lie groups and related discrete groups.

We answer a question of Friedlander, Iwaniec, Mazur, and Rubin on the joint distribution spin symbols. As an application we give negative to conjecture Cohn Lagarias existence governing fields for 16-rank class groups under assumption short character sum conjecture.