List of statements independent of ZFC (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "List of statements independent of ZFC" in English language version.

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14doi.org

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6ams.org

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3jstor.org

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2projecteuclid.org

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2semanticscholar.org

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2arxiv.org

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1books.google.com

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ams.org

mathscinet.ams.org

Shelah, S. (1974). "Infinite Abelian groups, Whitehead problem and some constructions". Israel Journal of Mathematics. 18 (3): 243–256. doi:10.1007/BF02757281. MR 0357114.
Friedman, Harvey (1980). "A Consistent Fubini-Tonelli Theorem for Nonmeasurable Functions". Illinois J. Math. 24 (3): 390–395. doi:10.1215/ijm/1256047607. MR 0573474.
Freiling, Chris (1986). "Axioms of symmetry: throwing darts at the real number line". Journal of Symbolic Logic. 51 (1): 190–200. doi:10.2307/2273955. JSTOR 2273955. MR 0830085. S2CID 38174418.
Nyikos, Peter J. (2001). "A history of the normal Moore space problem". Handbook of the History of General Topology. History of Topology. Vol. 3. Dordrecht: Kluwer Academic Publishers. pp. 1179–1212. doi:10.1007/978-94-017-0470-0_7. ISBN 0-7923-6970-X. MR 1900271.
Erdős, P. (1964). "An interpolation problem associated with the continuum hypothesis". The Michigan Mathematical Journal. 11: 9–10. doi:10.1307/mmj/1028999028. MR 0168482..

ams.org

Barbara L. Osofsky (1968). "Homological dimension and the continuum hypothesis" (PDF). Transactions of the American Mathematical Society. 132: 217–230. doi:10.1090/s0002-9947-1968-0224606-4.

arxiv.org

Farah, Ilijas (2011). "All automorphisms of the Calkin algebra are inner". Annals of Mathematics. Second Series. 173 (2): 619–661. arXiv:0705.3085. doi:10.4007/annals.2011.173.2.1.
Phillips, N. C.; Weaver, N. (2007). "The Calkin algebra has outer automorphisms". Duke Mathematical Journal. 139 (1): 185–202. arXiv:math/0606594. doi:10.1215/S0012-7094-07-13915-2. S2CID 13873756.

books.google.com

Barbara L. Osofsky (1973). Homological Dimensions of Modules. American Mathematical Soc. p. 60. ISBN 978-0-8218-1662-2.

doi.org

Solovay, R. M.; Tennenbaum, S. (1971). "Iterated Cohen extensions and Souslin's problem". Annals of Mathematics. Second Series. 94 (2): 201–245. doi:10.2307/1970860. JSTOR 1970860.
Shelah, S. (1981). "Free limits of forcing and more on Aronszajn trees". Israel Journal of Mathematics. 38 (4): 315–334. doi:10.1007/BF02762777.
Shelah, S. (1974). "Infinite Abelian groups, Whitehead problem and some constructions". Israel Journal of Mathematics. 18 (3): 243–256. doi:10.1007/BF02757281. MR 0357114.
Shelah, S. (1972). "Whitehead groups may be not free, even assuming CH, I". Israel Journal of Mathematics. 28 (3): 193–204. doi:10.1007/BF02759809.
Shelah, S. (1980). "Whitehead groups may not be free even assuming CH, II". Israel Journal of Mathematics. 35 (4): 257–285. doi:10.1007/BF02760652.
Barbara L. Osofsky (1968). "Homological dimension and the continuum hypothesis" (PDF). Transactions of the American Mathematical Society. 132: 217–230. doi:10.1090/s0002-9947-1968-0224606-4.
See e.g.:
- James P. Jones (1980). "Undecidable diophantine equations". Bull. Amer. Math. Soc. 3 (2): 859–862. doi:10.1090/s0273-0979-1980-14832-6.
- Friedman, Harvey (1980). "A Consistent Fubini-Tonelli Theorem for Nonmeasurable Functions". Illinois J. Math. 24 (3): 390–395. doi:10.1215/ijm/1256047607. MR 0573474.
- Freiling, Chris (1986). "Axioms of symmetry: throwing darts at the real number line". Journal of Symbolic Logic. 51 (1): 190–200. doi:10.2307/2273955. JSTOR 2273955. MR 0830085. S2CID 38174418.
- Nyikos, Peter J. (2001). "A history of the normal Moore space problem". Handbook of the History of General Topology. History of Topology. Vol. 3. Dordrecht: Kluwer Academic Publishers. pp. 1179–1212. doi:10.1007/978-94-017-0470-0_7. ISBN 0-7923-6970-X. MR 1900271.
- Farah, Ilijas (2011). "All automorphisms of the Calkin algebra are inner". Annals of Mathematics. Second Series. 173 (2): 619–661. arXiv:0705.3085. doi:10.4007/annals.2011.173.2.1.
- Phillips, N. C.; Weaver, N. (2007). "The Calkin algebra has outer automorphisms". Duke Mathematical Journal. 139 (1): 185–202. arXiv:math/0606594. doi:10.1215/S0012-7094-07-13915-2. S2CID 13873756.
- Erdős, P. (1964). "An interpolation problem associated with the continuum hypothesis". The Michigan Mathematical Journal. 11: 9–10. doi:10.1307/mmj/1028999028. MR 0168482..
- Groszek, Marcia J.; Slaman, T. (1983). "Independence results on the global structure of the Turing degrees". Transactions of the American Mathematical Society. 277 (2): 579. doi:10.2307/1999225. JSTOR 1999225.

jstor.org

Solovay, R. M.; Tennenbaum, S. (1971). "Iterated Cohen extensions and Souslin's problem". Annals of Mathematics. Second Series. 94 (2): 201–245. doi:10.2307/1970860. JSTOR 1970860.
Freiling, Chris (1986). "Axioms of symmetry: throwing darts at the real number line". Journal of Symbolic Logic. 51 (1): 190–200. doi:10.2307/2273955. JSTOR 2273955. MR 0830085. S2CID 38174418.
Groszek, Marcia J.; Slaman, T. (1983). "Independence results on the global structure of the Turing degrees". Transactions of the American Mathematical Society. 277 (2): 579. doi:10.2307/1999225. JSTOR 1999225.

projecteuclid.org

See e.g.:
- James P. Jones (1980). "Undecidable diophantine equations". Bull. Amer. Math. Soc. 3 (2): 859–862. doi:10.1090/s0273-0979-1980-14832-6.
- Erdős, P. (1964). "An interpolation problem associated with the continuum hypothesis". The Michigan Mathematical Journal. 11: 9–10. doi:10.1307/mmj/1028999028. MR 0168482..

semanticscholar.org

api.semanticscholar.org

Freiling, Chris (1986). "Axioms of symmetry: throwing darts at the real number line". Journal of Symbolic Logic. 51 (1): 190–200. doi:10.2307/2273955. JSTOR 2273955. MR 0830085. S2CID 38174418.
Phillips, N. C.; Weaver, N. (2007). "The Calkin algebra has outer automorphisms". Duke Mathematical Journal. 139 (1): 185–202. arXiv:math/0606594. doi:10.1215/S0012-7094-07-13915-2. S2CID 13873756.