The Baire category theorem in weak subsystems of second order arithmetic. Brown, D. K. & Simpson, S. G. The Journal of Symbolic Logic, 58:557–578, 1993.
bibtex   
@ARTICLE{BS93a,
  author = {Brown, Douglas K. and Simpson, Stephen G.},
  title = {The {B}aire category theorem in weak subsystems of second order arithmetic},
  journal = JSL,
  year = {1993},
  volume = {58},
  pages = {557--578},
  file = {BS93a.pdf:BS93a.pdf:PDF}
}

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