Another homogeneous plane continuum
HTML articles powered by AMS MathViewer
- by R. H. Bing and F. B. Jones PDF
- Trans. Amer. Math. Soc. 90 (1959), 171-192 Request permission
References
- R. D. Anderson, On monotone interior mappings in the plane, Trans. Amer. Math. Soc. 73 (1952), 211–222. MR 50269, DOI 10.1090/S0002-9947-1952-0050269-5 —, Report on results on continuous collections of pseudo-arcs in the plane and homogeneity of the universal curve, Summary of Lectures and Seminars, Summer Institute on Set Theoretic Topology, Madison, 1955, pp. 76-77.
- R. H. Bing, A homogeneous indecomposable plane continuum, Duke Math. J. 15 (1948), 729–742. MR 27144
- R. H. Bing, Concerning hereditarily indecomposable continua, Pacific J. Math. 1 (1951), 43–51. MR 43451
- R. H. Bing, Snake-like continua, Duke Math. J. 18 (1951), 653–663. MR 43450 —, Another homogeneous plane continuum, Bull. Amer. Math. Soc. Abstract 60-6-766. —, The pseudo-arc, Summary of Lectures and Seminars, Summer Institute on Set Theoretic Topology, Madison, 1955, pp. 70-73.
- C. E. Burgess, Some theorems on $n$-homogeneous continua, Proc. Amer. Math. Soc. 5 (1954), 136–143. MR 61367, DOI 10.1090/S0002-9939-1954-0061367-1
- C. E. Burgess, Certain types of homogeneous continua, Proc. Amer. Math. Soc. 6 (1955), 348–350. MR 69485, DOI 10.1090/S0002-9939-1955-0069485-X —, Homogeneous continua, Summary of Lectures and Seminars, Summer Institute on Set Theoretic Topology, Madison, 1955, pp. 73-76.
- Gustave Choquet, Prolongements d’homéomorphies. Ensembles topologiquement nommables. Caractérisation topologique individuelle des ensembles fermés totalement discontinus, C. R. Acad. Sci. Paris 219 (1944), 542–544 (French). MR 14804
- Herman J. Cohen, Some results concerning homogeneous plane continua, Duke Math. J. 18 (1951), 467–474. MR 40652
- F. Burton Jones, A note on homogeneous plane continua, Bull. Amer. Math. Soc. 55 (1949), 113–114. MR 28581, DOI 10.1090/S0002-9904-1949-09181-4
- F. Burton Jones, Certain homogeneous unicoherent indecomposable continua, Proc. Amer. Math. Soc. 2 (1951), 855–859. MR 45372, DOI 10.1090/S0002-9939-1951-0045372-4 —, On a certain type of homogeneous plane continuum, Bull. Amer. Math. Soc. Abstract 60-6-770. —, On homogeneity, Summary of Lectures and Seminars, Summer Institute on Set Theoretic Topology, Madison, 1955, pp. 66-68.
- F. Burton Jones, On a certain type of homogeneous plane continuum, Proc. Amer. Math. Soc. 6 (1955), 735–740. MR 71761, DOI 10.1090/S0002-9939-1955-0071761-1
- Isaac Kapuano, Sur une proposition de M. Bing, C. R. Acad. Sci. Paris 236 (1953), 2468–2469 (French). MR 56916
- Isaac Kapuano, Sur les continus linéaires, C. R. Acad. Sci. Paris 237 (1953), 683–685 (French). MR 58199 B. Knaster, Un continu dont tout sous-continu est indécomposable, Fund. Math. vol. 3 (1922) pp. 247-286. B. Knaster and C. Kuratowski, Problème $2$, Fund. Math. vol. 1 (1920) p. 223. S. Mazurkiewicz, Sur les continus homogènes, Fund. Math. vol. 5 (1924) pp. 137-146.
- Edwin E. Moise, An indecomposable plane continuum which is homeomorphic to each of its nondegenerate subcontinua, Trans. Amer. Math. Soc. 63 (1948), 581–594. MR 25733, DOI 10.1090/S0002-9947-1948-0025733-4
- Edwin E. Moise, A note on the pseudo-arc, Trans. Amer. Math. Soc. 67 (1949), 57–58. MR 33023, DOI 10.1090/S0002-9947-1949-0033023-X
- J. H. Roberts, Collections filling a plane, Duke Math. J. 2 (1936), no. 1, 10–19. MR 1545902, DOI 10.1215/S0012-7094-36-00202-8 Z. Waraszkiewicz, Sur les courbes planes topologiquement homogenes, C. R. Acad. Sci. Paris, vol. 204 (1937) pp. 1388-1390.
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 90 (1959), 171-192
- MSC: Primary 54.00
- DOI: https://doi.org/10.1090/S0002-9947-1959-0100823-3
- MathSciNet review: 0100823