Recent content by jose80

  1. J

    Degree of Rational Function Field

    Hi, I am trying to find the degree [F_{q^2}(x):F_{q}(x)]$. Intuitively, I thought it will be 2? but cannot see that
  2. J

    Is the Pointwise Limit of Measurable Functions Also Measurable?

    Hi, thanks for the answers, I tried to look up why a pointwise limit of continuous functions is Borel measurable, but I couldn't figure out that? Any reference or hint?
  3. J

    Is the Pointwise Limit of Measurable Functions Also Measurable?

    Hi, I got across this question, if $F:[0,1] \to \mathbb{R}$ is differentiable, then how to show it is derivative $F'$ is Borel measurable? Any idea?
  4. J

    Axiom of Abelian Category: AB5 & AB5*

    In the axoim of Abelian category I am trying to see why does only the zero category satisfy axioms AB5 (direct limit preseve exact sequences) and AB5* (projective limit preserve exact sequences).
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