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
HTML articles powered by AMS MathViewer

by Louis F. McAuley

Trans. Amer. Math. Soc. 81 (1956), 74-91

DOI: https://doi.org/10.1090/S0002-9947-1956-0086293-X

PDF | Request permission

References

F. Burton Jones, Aposyndetic continua and certain boundary problems, Amer. J. Math. 63 (1941), 545–553. MR 4771, DOI 10.2307/2371367
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
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

J. H. Roberts, Concerning Metric Collections of Continua, Amer. J. Math. 53 (1931), no. 2, 422–426. MR 1506828, DOI 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 10.1007/BF01206602
Paul Urysohn, Zum Metrisationsproblem, Math. Ann. 94 (1925), no. 1, 309–315 (German). MR 1512260, DOI 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 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 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 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 10.1090/S0002-9947-1931-1501599-5
G. T. Whyburn, Semi-locally connected sets, Amer. J. Math. 61 (1939), 733–749. MR 182, DOI 10.2307/2371330

Über die Zerschneidungspunkte der Zusammenhangende Mengen

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 10.1090/S0002-9947-1941-0005317-8