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Wilder on connectedness

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Algebraic and Geometric Topology

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Bibliography

  1. Bing, R.H., Solution of a problem of R.L. Wilder, Amer. Jour. Math. 70 (1948), 95–98.

    Article  MathSciNet  MATH  Google Scholar 

  2. Estill, M.E., A primitive dispersion set of the plane, Duke Math. Jour. 19 (1952), 323–328.

    Article  MathSciNet  MATH  Google Scholar 

  3. Jones, F.B., Connected and disconnected plane sets and the functional equation f(x)+f(y)=f(x+y), Bull. Amer. Math. Soc. 48 (1942), 115–120.

    Article  MathSciNet  MATH  Google Scholar 

  4. Jones, F.B., loc. cit.

    Article  MathSciNet  MATH  Google Scholar 

  5. Kline, J.R., Closed connected sets which remain connected upon the removal of certain connected subsets, Fund. Math. 5 (1924), 3–10.

    MATH  Google Scholar 

  6. Kline, J.R., A theorem concerning connected point sets (sic), Fund. Math. 3 (1922), 238–239.

    MATH  Google Scholar 

  7. Knaster, B.; Kuratowski, C., Sur les ensembles connexes, Fund. Math. 2 (1921), 206–255.

    MATH  Google Scholar 

  8. Knaster, B., Sur un probleme de M.R.L. Wilder, Fund. Math. 7 (1925), 191–197.

    MATH  Google Scholar 

  9. Knaster, B.; Kuratowski, C., Sur les ensembles connexes, Fund. Math. 2 (1921), 206–255.

    MATH  Google Scholar 

  10. Kuratowski, C., Contribution à l’étude de continus de Jordan, Fund. Math. 5 (1924), 112–122.

    MATH  Google Scholar 

  11. Miller, E.W., Concerning biconnected sets, Fund. Math. 29 (1937), 123–133.

    MATH  Google Scholar 

  12. Mohler, L., A note on hereditarily locally connected continua, Bull. de l’Acad. Polonaise des Sciences 17 (1969), 699–701.

    MathSciNet  MATH  Google Scholar 

  13. Mohler, L., A characterization of local connectedness for generalized continua, Coll. Math. 21 (1970), 81–85.

    MathSciNet  MATH  Google Scholar 

  14. Moore, R.L., A connected and regular point set which contains no arc, Bull. Amer. Math. Soc. 32 (1926), 331–332.

    Article  MathSciNet  MATH  Google Scholar 

  15. Roberts, J.H., The rational points in Hilbert space, Duke Math. Jour. 23 (1956), 489–491.

    Article  MathSciNet  MATH  Google Scholar 

  16. Sierpinski, W., Sur les ensembles connexes et non connexes, Fund. Math. 2 (1921), 81–95.

    MATH  Google Scholar 

  17. Swingle, P.M., Two types of connected sets, Bull. Amer. Math. Soc. 37 (1931), 254–258.

    Article  MathSciNet  MATH  Google Scholar 

  18. Whyburn, G.T., Concerning connected and regular point sets, Bull. Amer. Math. Soc. 33 (1927), 685–689.

    Article  MathSciNet  MATH  Google Scholar 

  19. Wilder, R.L., A point set which has no true quasi-components, and which becomes connected upon the addition of a single point, Bull. Amer. Math. Soc. 33 (1927), 423–427.

    Article  MathSciNet  MATH  Google Scholar 

  20. Wilder, R.L., A connected and regular point set which has no subcontinuum, Trans. Amer. Math. Soc. 29 (1927), 332–340.

    Article  MathSciNet  MATH  Google Scholar 

  21. Wilder, R.L., On connected and regular point sets, Bull. Amer. Math. Soc. 34 (1928), 649–655.

    Article  MathSciNet  MATH  Google Scholar 

  22. Wilder, R.L., Concerning simple continuous curves and related point sets, Amer. Jour. Math. 53 (1931), 39–55.

    Article  MathSciNet  MATH  Google Scholar 

  23. Wilder, R.L., Characterizations of continuous curves that are perfectly continuous, Proc. Nat. Acad. Sci. 15 (1929), 614–621.

    Article  MATH  Google Scholar 

  24. Wilder, R.L., Concerning continuous curves, Fund. Math. 7 (1925), 340–377.

    MATH  Google Scholar 

  25. Wilder, R.L., On the dispersion sets of connected point-sets (sic), Fund. Math. 6 (1924), 214–228.

    Google Scholar 

  26. Problème de M. Kuratowski, Fund. Math. 3 (1922), p. 322, Prob. 19.

    Google Scholar 

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Kenneth C. Millett

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© 1978 Springer-Verlag

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Jones, F.B. (1978). Wilder on connectedness. In: Millett, K.C. (eds) Algebraic and Geometric Topology. Lecture Notes in Mathematics, vol 664. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061685

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  • DOI: https://doi.org/10.1007/BFb0061685

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  • Print ISBN: 978-3-540-08920-9

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