I am a student. I am very interested in counterexamples when cylindrical sigma-algebra is not equal to the borel. I read 
[link text][1] and
[link text][2].


  [1]: http://mathoverflow.net/questions/32785/cyle-borele-for-e-non-reflexive-grothendieck-banach-space
  [2]: http://mathoverflow.net/questions/24432/borelx-sigmax-for-x-non-separable

Especially interessted in l-infinity space. I've read Talgat and Fremlin's article about Gaussian measure on l-infinitive, but if there is another method to prove that, without measures? And there is another idea of that proof by Vakhania  "Probability Distributions on Banach Spaces" et al, p. 23 - 24, but i cant get how to prove it exactly. 

And what about [0,1]^[0,1] space. It's a separable metric space as i could prove, but what about sigma-algebras.

Would be great if you could give me any links of literature about cylindrical sigma-algebra relationship with Borel or Baire, examples and counterexamples.