Continuous collections of decomposable continua on a spherical surface

Continuous collections of decomposable continua on a spherical surface
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by Eldon Dyer

Proc. Amer. Math. Soc. 6 (1955), 351-360

DOI: https://doi.org/10.1090/S0002-9939-1955-0071002-5

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References

R. D. Anderson, Continuous collections of continuous curves in the plane, Proc. Amer. Math. Soc. 3 (1952), 647–657. MR 53497, DOI 10.1090/S0002-9939-1952-0053497-3
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
Eldon Dyer, Irreducibility of the sum of the elements of a continuous collection of continua, Duke Math. J. 20 (1953), 589–592. MR 58198
O. G. Harrold Jr., The rôle of local separating points in certain problems of continuum structure, Lectures in Topology, University of Michigan Press, Ann Arbor, Mich., 1941, pp. 237–253. MR 0005305
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
R. L. Moore, Concerning upper semi-continuous collections, Monatsh. Math. Phys. 36 (1929), no. 1, 81–88 (German). MR 1549673, DOI 10.1007/BF02307605
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

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G. T. Whyburn, Interior Transformations on Surfaces, Amer. J. Math. 60 (1938), no. 2, 477–490. MR 1507329, DOI 10.2307/2371311

Analytic topology