On $n$-arc connectedness
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- by G. T. Whyburn
- Trans. Amer. Math. Soc. 63 (1948), 452-456
- DOI: https://doi.org/10.1090/S0002-9947-1948-0026327-7
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References
- Norman E. Rutt, Concerning the Cut Points of a Continuous Curve when the Arc Curve, AB, Contains Exactly N Independent Arcs, Amer. J. Math. 51 (1929), no. 2, 217–246. MR 1506714, DOI 10.2307/2370707 G. Nöbeling, Eine Verschärfung des $n$-Beinsatzes, Fund. Math. vol. 18 (1931) pp. 23-38. K. Menger, Kurventheorie, Teubner, Berlin-Leipzig, 1932, chap. VI.
- Leo Zippin, Independent arcs of a continuous curve, Ann. of Math. (2) 34 (1933), no. 1, 95–113. MR 1503099, DOI 10.2307/1968342
- G. T. Whyburn, On the cyclic connectivity theorem, Bull. Amer. Math. Soc. 37 (1931), no. 6, 429–433. MR 1562166, DOI 10.1090/S0002-9904-1931-05181-8
- R. L. Moore, Foundations of point set theory, Revised edition, American Mathematical Society Colloquium Publications, Vol. XIII, American Mathematical Society, Providence, R.I., 1962. MR 0150722
- Karl Menger, Über die Dimension von Punktmengen III, Monatsh. Math. Phys. 36 (1929), no. 1, 193–218 (German). Zur Begründung einer axiomatischen Theorie der Dimension. MR 1549681, DOI 10.1007/BF02307613
- G. T. Whyburn, The Cyclic and Higher Connectivity of Locally Connected Spaces, Amer. J. Math. 53 (1931), no. 2, 427–442. MR 1506829, DOI 10.2307/2370795
Bibliographic Information
- © Copyright 1948 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 63 (1948), 452-456
- MSC: Primary 56.0X
- DOI: https://doi.org/10.1090/S0002-9947-1948-0026327-7
- MathSciNet review: 0026327