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The existence of the Rost motive and the nilpotence theorem itself are both es- sential to Voevodsky’s proof of the Milnor conjectureV. It is, therefore, desirable to have direct
If a group G has at least one compact open subgroup, the constructions in [17] provide a realization of E(G) as a simplicial complex (the constructions in [17] are given for discrete
The proof is an application of the Freyd’s adjoint functor theorem, en- tirely similar to the proof of Theorem 3.1 that asserts the existence of an initial object in the category
In this section we analyze a simplicial set associated with a poset, having in mind two main aims: first, we want to introduce the first homotopy group of posets because we will
Hypothesis (a) in Theorem 5.1 is always true when Y admits a dualizing complex and homotopy invariance holds over Y for the Picard group (e.g.. Homotopy invariance for coherent
Bourbaki coincide with Borel subsets of complete separable metric spaces while in the modern set-theoretical topology Luzin topological spaces are uncountable Hausdorff spaces
The following Theorem shows that if T is a Maltsev theory, then all surjec- tive homomorphisms of simplicial T -models are Kan fibrations, which obviously implies Theorem 1.. Our
Using some relations between the branching homology of some particular ω-categories and the usual simplicial homology of some associated ω-categories (Theorem 5.5), the behaviour of
