Characterizations of the continuous images of the pseudo-arc
HTML articles powered by AMS MathViewer
- by Lawrence Fearnley
- Trans. Amer. Math. Soc. 111 (1964), 380-399
- DOI: https://doi.org/10.1090/S0002-9947-1964-0163293-7
- PDF | Request permission
References
- 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 —, The pseudo-arc, Summary of Lectures and Seminars, Summer Institute on Set Theoretic Topology, Madison, Wis., 1955, Amer. Math. Soc., Providence, R. I., 70-73.
- M. K. Fort Jr., Images of plane continua, Amer. J. Math. 81 (1959), 541–546. MR 106441, DOI 10.2307/2372912 H. Hahn, Mengentheoretische Characterisierung der Stetige Kurven, Sitzungsberichte Akademie der Wissenschaften Vienna 123 (1914), 2433.
- F. Burton Jones, Concerning aposyndetic and non-aposyndetic continua, Bull. Amer. Math. Soc. 58 (1952), 137–151. MR 48797, DOI 10.1090/S0002-9904-1952-09582-3 B. Knaster, Un continu dont tout sous-continu est indécomposables, Fund. Math. 3 (1922), 247-286. S. Mazurkiewicz, Sur les lignes de Jordan, Fund. Math. 1 (1920), 166-209.
- J. Mioduszewski, A functional conception of snake-like continua, Fund. Math. 51 (1962/63), 179–189. MR 144313, DOI 10.4064/fm-51-2-179-189
- 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 Z. Waraszkiewicz, Sur quelques invariants des transformations continues, Fund. Math. 23 (1934), 172-189.
- Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, Vol. 28, American Mathematical Society, New York, 1942. MR 0007095
Bibliographic Information
- © Copyright 1964 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 111 (1964), 380-399
- MSC: Primary 54.55
- DOI: https://doi.org/10.1090/S0002-9947-1964-0163293-7
- MathSciNet review: 0163293