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Concerning addition of regular curves

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  1. 1)

    See, for instance, H. M. Gehman, „Concerning the Subsets of a Plane Continuous Curve”, Ann. of Math., vol. 27 (1925), p. 43. The term „regular curve” and the associated terminology is used in the present paper in the sense of Menger; cf. „Grundzüge einer Theorie der Kurven”, Math. Ann., vol. 95 (1925), pp. 272–306.

  2. 2)

    This property is to be interpreted in such a way that it is topologically invariant.

  3. 3)

    Cf. K. Menger, loc. cit..

  4. 4)

    Cf. K. Menger, „Zur allgemeinen Kurventheorie”, Fund. Math., vol. 10 (1927), pp. 96–115.

  5. 5)

    See M. Frechet, „La Dimension d'un Ensemble Abstrait”, Math. Ann., vol. 68 (1910), p. 159, and P. Urysohn, „Sur les Multiplicities Cantoriennes”, Fund. Math., vol. 7 (1925), p. 83.

  6. 6)

    Cf. P. Urysohn, Verhand. Akad. Amsterdam, 1927.

  7. 7)

    Math. Ann., vol. 102 (1929), pp. 313–336, § 4.

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Whyburn, G.T. Concerning addition of regular curves. Monatsh. f. Mathematik und Physik 38, 1–4 (1931). https://doi.org/10.1007/BF01700676

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  • Ether
  • Positive Integer
  • Real Number
  • Euclidean Space
  • Limit Point