Talk:Convergence of Measures and Metrizability

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Weak-star Topologies

  • Consider adding citation for the following concepts: weak-star topology, Banach-Alaoglu, unit ball can be metrized, net (Brezis? Wikipedia? whatever you want; it might be cool to change each phrase to a wikipedia preference)
  • Specify that phi, psi are elements of X*1.
  • Add a remark explaining why you work with nets instead of sequences.

Metrizability for duals of CX spaces

  • Add a citation for this argument for separability.
  • In the second paragraph, emphasize that you are not assuming X compact.
  • Add a reference for Stone-Cech compactification.

Narrow convergence

  • References :)

Wide convergence

  • References :)