Baire space (English Wikipedia)

Gierz et al. 2003, Corollary I-3.40.9, p. 114. Gierz, G.; Hofmann, K. H.; Keimel, K.; Lawson, J. D.; Mislove, M. W.; Scott, D. S. (2003). Continuous Lattices and Domains. Encyclopedia of Mathematics and its Applications. Vol. 93. Cambridge University Press. ISBN 978-0521803380.

books.google.com

Baire, R. (1899). "Sur les fonctions de variables réelles". Annali di Matematica Pura ed Applicata. 3: 1–123. doi:10.1007/BF02419243.

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Ma, Dan (3 June 2012). "A Question About The Rational Numbers". Dan Ma's Topology Blog.Theorem 3

doi.org

Baire, R. (1899). "Sur les fonctions de variables réelles". Annali di Matematica Pura ed Applicata. 3: 1–123. doi:10.1007/BF02419243.
Oxtoby, J. (1961). "Cartesian products of Baire spaces" (PDF). Fundamenta Mathematicae. 49 (2): 157–166. doi:10.4064/fm-49-2-157-166.
Fleissner, W.; Kunen, K. (1978). "Barely Baire spaces" (PDF). Fundamenta Mathematicae. 101 (3): 229–240. doi:10.4064/fm-101-3-229-240.

eudml.org

Haworth & McCoy 1977, p. 11. Haworth, R. C.; McCoy, R. A. (1977), Baire Spaces, Warszawa: Instytut Matematyczny Polskiej Akademi Nauk
Haworth & McCoy 1977, Proposition 1.14. Haworth, R. C.; McCoy, R. A. (1977), Baire Spaces, Warszawa: Instytut Matematyczny Polskiej Akademi Nauk
Haworth & McCoy 1977, Proposition 1.23. Haworth, R. C.; McCoy, R. A. (1977), Baire Spaces, Warszawa: Instytut Matematyczny Polskiej Akademi Nauk
Haworth & McCoy 1977, Proposition 1.16. Haworth, R. C.; McCoy, R. A. (1977), Baire Spaces, Warszawa: Instytut Matematyczny Polskiej Akademi Nauk
Haworth & McCoy 1977, Proposition 1.17. Haworth, R. C.; McCoy, R. A. (1977), Baire Spaces, Warszawa: Instytut Matematyczny Polskiej Akademi Nauk
Haworth & McCoy 1977, Theorem 1.15. Haworth, R. C.; McCoy, R. A. (1977), Baire Spaces, Warszawa: Instytut Matematyczny Polskiej Akademi Nauk
Haworth & McCoy 1977, Corollary 1.22. Haworth, R. C.; McCoy, R. A. (1977), Baire Spaces, Warszawa: Instytut Matematyczny Polskiej Akademi Nauk
Haworth & McCoy 1977, Proposition 1.20. Haworth, R. C.; McCoy, R. A. (1977), Baire Spaces, Warszawa: Instytut Matematyczny Polskiej Akademi Nauk

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matwbn.icm.edu.pl

Oxtoby, J. (1961). "Cartesian products of Baire spaces" (PDF). Fundamenta Mathematicae. 49 (2): 157–166. doi:10.4064/fm-49-2-157-166.
Fleissner, W.; Kunen, K. (1978). "Barely Baire spaces" (PDF). Fundamenta Mathematicae. 101 (3): 229–240. doi:10.4064/fm-101-3-229-240.

mathoverflow.net

"Classic applications of Baire category theorem". MathOverflow.

stackexchange.com

math.stackexchange.com

"Your favourite application of the Baire Category Theorem". Mathematics Stack Exchange.
"Intersection of two open dense sets is dense". Mathematics Stack Exchange.
"The Sorgenfrey line is a Baire Space". Mathematics Stack Exchange.
"The Sorgenfrey plane and the Niemytzki plane are Baire spaces". Mathematics Stack Exchange.
"Example of a Baire metric space which is not completely metrizable". Mathematics Stack Exchange.

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Bourbaki 1989, p. 192. Bourbaki, Nicolas (1989) [1967]. General Topology 2: Chapters 5–10 [Topologie Générale]. Éléments de mathématique. Vol. 4. Berlin New York: Springer Science & Business Media. ISBN 978-3-540-64563-4. OCLC 246032063.
Narici & Beckenstein 2011, pp. 390–391. Narici, Lawrence; Beckenstein, Edward (2011). Topological Vector Spaces. Pure and applied mathematics (Second ed.). Boca Raton, FL: CRC Press. ISBN 978-1584888666. OCLC 144216834.
Kelley 1975, Theorem 34, p. 200. Kelley, John L. (1975) [1955]. General Topology. Graduate Texts in Mathematics. Vol. 27 (2nd ed.). New York: Springer-Verlag. ISBN 978-0-387-90125-1. OCLC 1365153.
Schechter 1996, Theorem 20.16, p. 537. Schechter, Eric (1996). Handbook of Analysis and Its Foundations. San Diego, CA: Academic Press. ISBN 978-0-12-622760-4. OCLC 175294365.
Schechter 1996, Theorem 20.18, p. 538. Schechter, Eric (1996). Handbook of Analysis and Its Foundations. San Diego, CA: Academic Press. ISBN 978-0-12-622760-4. OCLC 175294365.
Narici & Beckenstein 2011, Theorem 11.6.7, p. 391. Narici, Lawrence; Beckenstein, Edward (2011). Topological Vector Spaces. Pure and applied mathematics (Second ed.). Boca Raton, FL: CRC Press. ISBN 978-1584888666. OCLC 144216834.
Bourbaki 1989, Exercise 17, p. 254. Bourbaki, Nicolas (1989) [1967]. General Topology 2: Chapters 5–10 [Topologie Générale]. Éléments de mathématique. Vol. 4. Berlin New York: Springer Science & Business Media. ISBN 978-3-540-64563-4. OCLC 246032063.
Narici & Beckenstein 2011, Theorem 11.8.6, p. 396. Narici, Lawrence; Beckenstein, Edward (2011). Topological Vector Spaces. Pure and applied mathematics (Second ed.). Boca Raton, FL: CRC Press. ISBN 978-1584888666. OCLC 144216834.
Wilansky 2013, p. 60. Wilansky, Albert (2013). Modern Methods in Topological Vector Spaces. Mineola, New York: Dover Publications, Inc. ISBN 978-0-486-49353-4. OCLC 849801114.