On decomposition of continua into aposyndetic continua

McAuley, Louis F.

doi:10.1090/S0002-9947-1956-0086293-X

On decomposition of continua into aposyndetic continua

Author: Louis F. McAuley
Journal: Trans. Amer. Math. Soc. 81 (1956), 74-91
MSC: Primary 54.0X
DOI: https://doi.org/10.1090/S0002-9947-1956-0086293-X
MathSciNet review: 0086293
Full-text PDF Free Access

F. Burton Jones, Aposyndetic continua and certain boundary problems, Amer. J. Math. 63 (1941), 545–553. MR 4771, DOI https://doi.org/10.2307/2371367
F. Burton Jones, Concerning aposyndetic and non-aposyndetic continua, Bull. Amer. Math. Soc. 58 (1952), 137–151. MR 48797, DOI https://doi.org/10.1090/S0002-9904-1952-09582-3
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

---, Fundamental theorems concerning point sets, The Rice Institute Pamphlet vol. 23 (1936) pp. 1-74.

J. H. Roberts, Concerning Metric Collections of Continua, Amer. J. Math. 53 (1931), no. 2, 422–426. MR 1506828, DOI https://doi.org/10.2307/2370794
Waclaw Sierpinski, General topology, Mathematical Expositions, No. 7, University of Toronto Press, Toronto, 1952. Translated by C. Cecilia Krieger. MR 0050870
A. Tychonoff, Über einen Metrisationssatz von P. Urysohn, Math. Ann. 95 (1926), no. 1, 139–142 (German). MR 1512269, DOI https://doi.org/10.1007/BF01206602
Paul Urysohn, Zum Metrisationsproblem, Math. Ann. 94 (1925), no. 1, 309–315 (German). MR 1512260, DOI https://doi.org/10.1007/BF01208661
Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, Vol. 28, American Mathematical Society, New York, 1942. MR 0007095
G. T. Whyburn, Concerning collections of cuttings of connected point sets, Bull. Amer. Math. Soc. 35 (1929), no. 1, 87–104. MR 1561692, DOI https://doi.org/10.1090/S0002-9904-1929-04701-3
Gordon T. Whyburn, Concerning the cut points of continua, Trans. Amer. Math. Soc. 30 (1928), no. 3, 597–609. MR 1501448, DOI https://doi.org/10.1090/S0002-9947-1928-1501448-5
G. T. Whyburn, Cut points of connected sets and of continua, Trans. Amer. Math. Soc. 32 (1930), no. 1, 147–154. MR 1501530, DOI https://doi.org/10.1090/S0002-9947-1930-1501530-1
G. T. Whyburn, Non-separated cuttings of connected point sets, Trans. Amer. Math. Soc. 33 (1931), no. 2, 444–454. MR 1501599, DOI https://doi.org/10.1090/S0002-9947-1931-1501599-5
G. T. Whyburn, Semi-locally connected sets, Amer. J. Math. 61 (1939), 733–749. MR 182, DOI https://doi.org/10.2307/2371330

C. Zarankiewicz, Über die Zerschneidungspunkte der Zusammenhangende Mengen, Fund. Math. vol. 12 (1928) pp. 121-125.

R. G. Lubben, Concerning the decomposition and amalgamation of points, upper semi-continuous collections, and topological extensions, Trans. Amer. Math. Soc. 49 (1941), 410–466. MR 5317, DOI https://doi.org/10.1090/S0002-9947-1941-0005317-8