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A Fr´echet algebra endowed with a multiplicatively con- vex topology has two types of invariants: homotopy invariants (topo- logical K -theory and periodic cyclic homology)
This is relevant in non-abelian cohomology of groups, where the first cohomology group of a group G with coefficients in the crossed module δ is defined as the cokernel of the
there is a fibration (Definition 1.11) from G to its set of connected components (seen as a discrete category) given by the quotient functor generated by the collection of morphisms
If the given function has a fixed number of poles in a certain region, it makes sense to consider a sequence of Pad´e approximants with fixed denominator degree, in other words a
We describe a generalisation of the Fontaine- Wintenberger theory of the “field of norms” functor to local fields with imperfect residue field, generalising work of Abrashkin for
Following Guin’s approach to non-abelian cohomology [4] and, using the notion of a crossed bimodule, a second pointed set of cohomology is defined with coefficients in a crossed
In [CKW] the theory was illustrated in detail with a section devoted to rel seen as a colax functor from the 2-category REG of regular categories, arbitrary functors, and
Let O be a set and V be a locally presentable cofibrantly generated monoidal simplicial model category with a monoidal fibrant replacement functor.. Then the category of V O
