Browsing by Author "Reyes, Gonzalo E."

Now showing items 1-3 of 3

    • Cohomology theories in synthetic differential geometry 

      Moerdijk, Ieke; Reyes, Gonzalo E.
      One way of formulating De Rham's theorem' smoothly in parameters' is to construct the De Rham cohomology groups, and the (duals of the) singular homology groups as sheaves of smooth modules over the space of parameters, ...
      Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas. 

    • On the relation between connection and sprays 

      Moerdijk, Ieke; Reyes, Gonzalo E.
      A well-known (and simple) result of linear algebra asserts that any bilinear symmetric form RnxR→ δ Rn is completely determined by its values on the diagonal: letting σ (t) = δ (t,t) be the quadratic form associated to δ, ...
      Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas. 

    • Separably real closed local rings 

      Joyal, André; Reyes, Gonzalo E.
      It is well known that several types of "variable reals" arising in topos theory (Dedekind reals,  Cauchy reals, smooth reals, etc.) are not real closed,  in the sense that a polynomial (with "variable real" coefficients) ...
      Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas.