Erdős–Dushnik–Miller theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Erdős–Dushnik–Miller theorem" in English language version.

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  • Milner, E. C.; Pouzet, M. (1985), "The Erdős–Dushnik–Miller theorem for topological graphs and orders", Order, 1 (3): 249–257, doi:10.1007/BF00383601, MR 0779390, S2CID 123272176; see in particular Theorem 44
  • Dushnik, Ben; Miller, E. W. (1941), "Partially ordered sets", American Journal of Mathematics, 63 (3): 600–610, doi:10.2307/2371374, JSTOR 2371374, MR 0004862; see in particular Theorems 5.22 and 5.23
  • Erdős, Paul; Rado, R. (1956), "A partition calculus in set theory", Bulletin of the American Mathematical Society, 62 (5): 427–489, doi:10.1090/S0002-9904-1956-10036-0, MR 0081864
  • Shelah, Saharon (2009), "The Erdős–Rado arrow for singular cardinals", Canadian Mathematical Bulletin, 52 (1): 127–131, doi:10.4153/CMB-2009-015-8, MR 2494318
  • Shelah, Saharon; Stanley, Lee J. (2000), "Filters, Cohen sets and consistent extensions of the Erdős–Dushnik–Miller theorem", The Journal of Symbolic Logic, 65 (1): 259–271, arXiv:math/9709228, doi:10.2307/2586535, JSTOR 2586535, MR 1782118, S2CID 2763013
  • Hajnal, András (1997), "Paul Erdős' set theory", The mathematics of Paul Erdős, II, Algorithms and Combinatorics, vol. 14, Berlin: Springer, pp. 352–393, doi:10.1007/978-3-642-60406-5_33, ISBN 978-3-642-64393-4, MR 1425228; see in particular Section 3, "Infinite Ramsey theory – early papers", p. 353

ams.org

arxiv.org

doi.org

  • Milner, E. C.; Pouzet, M. (1985), "The Erdős–Dushnik–Miller theorem for topological graphs and orders", Order, 1 (3): 249–257, doi:10.1007/BF00383601, MR 0779390, S2CID 123272176; see in particular Theorem 44
  • Dushnik, Ben; Miller, E. W. (1941), "Partially ordered sets", American Journal of Mathematics, 63 (3): 600–610, doi:10.2307/2371374, JSTOR 2371374, MR 0004862; see in particular Theorems 5.22 and 5.23
  • Erdős, Paul; Rado, R. (1956), "A partition calculus in set theory", Bulletin of the American Mathematical Society, 62 (5): 427–489, doi:10.1090/S0002-9904-1956-10036-0, MR 0081864
  • Shelah, Saharon (2009), "The Erdős–Rado arrow for singular cardinals", Canadian Mathematical Bulletin, 52 (1): 127–131, doi:10.4153/CMB-2009-015-8, MR 2494318
  • Shelah, Saharon; Stanley, Lee J. (2000), "Filters, Cohen sets and consistent extensions of the Erdős–Dushnik–Miller theorem", The Journal of Symbolic Logic, 65 (1): 259–271, arXiv:math/9709228, doi:10.2307/2586535, JSTOR 2586535, MR 1782118, S2CID 2763013
  • Hajnal, András (1997), "Paul Erdős' set theory", The mathematics of Paul Erdős, II, Algorithms and Combinatorics, vol. 14, Berlin: Springer, pp. 352–393, doi:10.1007/978-3-642-60406-5_33, ISBN 978-3-642-64393-4, MR 1425228; see in particular Section 3, "Infinite Ramsey theory – early papers", p. 353

jstor.org

semanticscholar.org

api.semanticscholar.org

  • Milner, E. C.; Pouzet, M. (1985), "The Erdős–Dushnik–Miller theorem for topological graphs and orders", Order, 1 (3): 249–257, doi:10.1007/BF00383601, MR 0779390, S2CID 123272176; see in particular Theorem 44
  • Shelah, Saharon; Stanley, Lee J. (2000), "Filters, Cohen sets and consistent extensions of the Erdős–Dushnik–Miller theorem", The Journal of Symbolic Logic, 65 (1): 259–271, arXiv:math/9709228, doi:10.2307/2586535, JSTOR 2586535, MR 1782118, S2CID 2763013