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.