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The log-´etale (resp. log-flat, log-syntomic) topology on the category of Kummer log-´etale (resp.. log-flat, log- syntomic) morphism.. We will argue the case of Kummer

We saw in the prologue that the comonad Path on Cat has as its coalgebras free categories on graphs (the category of coalgebras is equivalent to the category of graphs), and that

Halperin, Torsion gaps in the homotopy of finite complexes I, Topology 27 (1988), pp. Sullivan, Infinitesimal computations in homotopy

This article deals with Chogoshvili cohomotopy functors which are defined by extending a cohomology functor given on some special auxiliary subcategories of the category of

The proof of May's uniqueness theorem (Ma4] Thm. 3) for functors dened from the category of permutative categories easily generalizes to show any two functors from SymMon to

be the category of set-valued accessible functors preserving products, i.e., of weakly rep- resentable functors. A typical example of this

The balance of the paper is devoted to preserving of the projectivity and injectivity by such a tensor product of functors from any small category C to R -modules, called R C

Rigidity of the homotopy for the trivial association schemes and groupoids We first investigate the structure of the group of self-homotopy equivalences on a trivial association