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• [2] P. Alexandroff and H. Hopf, Topologie I, Berlin, 1935.
• [3] R. E. Basye, Simply connected sets, Trans. Amer. Math. Soc. 38 (1935), no. 2, 341–356. MR 1501814, https://doi.org/10.1090/S0002-9947-1935-1501814-1
• [4] K. Borsuk, Quelques théorèmes sur les ensembles unicohérents, Fund. Math. vol. 17 (1931) pp. 171-209.
• [5] -, Über die Abbildungen der metrischen kompacten Räume auf die Kreislinie, Fund. Math. vol. 20 (1933) pp. 224-231.
• [6] -, Über den Lusternik-Schnirelmannsche Begriff der Kategorie, Fund. Math. vol. 26 (1936) pp. 123-136.
• [7] E. Čech, Sur les continus Péaniens unicohérents, Fund. Math. vol. 20 (1933) pp. 232-243.
• [8] S. Eilenberg, Transformations continues en circonférence et la topologie du plan, Fund. Math. vol. 26 (1936) pp. 61-112.
• [9] -, Sur les espaces multicohérents I, Fund. Math. vol. 27 (1936) pp. 153-190.
• [10] Samuel Eilenberg and E. W. Miller, Zero-dimensional families of sets, Bull. Amer. Math. Soc. 47 (1941), 921–923. MR 0005332, https://doi.org/10.1090/S0002-9904-1941-07589-0
• [11] P. Erdös and A. H. Stone, On the structure of linear graphs, Bull. Amer. Math. Soc. 52 (1946), 1087–1091. MR 0018807, https://doi.org/10.1090/S0002-9904-1946-08715-7
• [12] D. W. Hall and A. D. Wallace, Some invariants under monotone transformations, Bull. Amer. Math. Soc. 45 (1939), no. 4, 294–295. MR 1563969, https://doi.org/10.1090/S0002-9904-1939-06964-4
• [13] B. Knaster, Ein Zerlegungssatz über unikohärente Kontinua, Verhandlungen International Mathematische Kongress, Zurich, 1932 (2) p. 193.
• [14] B. Knaster and C. Kuratowski, Sur les ensembles connexes, Fund. Math. vol. 2 (1921) pp. 206-255.
• [15] C. Kuratowski, Sur les continus de Jordan et le théorème de M. Brouwer, Fund. Math. vol. 8 (1926) pp. 137-150.
• [16] -, Une charactérisation topologique de la surface de la sphère, Fund. Math. vol. 13 (1929) pp. 307-318.
• [17] 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
• [18] -, Concerning upper semi-continuous collections of continua which do not separate a given continuum, Proc. Nat. Acad. Sci. U. S. A. vol. 10 (1924) pp. 356-360.
• [19] R. L. Moore, Concerning intersecting continua, Proc. Nat. Acad. Sci. U. S. A. 28 (1942), 544–550. MR 0007481
• [20] M. H. A. Newman, Elements of the topology of plane sets of points, Cambridge, At the University Press, 1951. 2nd ed. MR 0044820
• [21] B. Pospíšil, Trois notes sur les espaces abstraits, Publications de la Faculté des Sciences de l'Université Masaryk, No. 249, Brno, 1937.
• [22] M. Rueff, Üeber die Unikohärenz n-dimensionaler Polyeder, Comment. Math. Helv. 7 (1934), no. 1, 14–23 (German). MR 1509497, https://doi.org/10.1007/BF01292705
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• [25] A. D. Wallace, Separation spaces, Ann. of Math. (2) 42 (1941), 687–697. MR 0004756, https://doi.org/10.2307/1969257
• [26] -, A characterization of unicoherence, Bull. Amer. Math. Soc. Abstract 48-11-345.
• [27] G. T. Whyburn, A junction property of locally connected sets, Bull. Amer. Math. Soc. Abstract 37-9-309.
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• [29] -, Analytic topology, Amer. Math. Soc. Colloquium Publications, vol. 28, 1942.
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Bibliography

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P. Alexandroff, Sur les multiplicités cantoriennes et le théorème de Phragmén-Brouwer généralisé, C. R. Acad. Sci. Paris vol. 183 (1926) pp. 722-724.

[2]

P. Alexandroff and H. Hopf, Topologie I, Berlin, 1935.

[3]

R. E. Basye, Simply connected sets, Trans. Amer. Math. Soc. vol. 38 (1935) pp. 341-356. MR 1501814

[4]

K. Borsuk, Quelques théorèmes sur les ensembles unicohérents, Fund. Math. vol. 17 (1931) pp. 171-209.

[5]

-, Über die Abbildungen der metrischen kompacten Räume auf die Kreislinie, Fund. Math. vol. 20 (1933) pp. 224-231.

[6]

-, Über den Lusternik-Schnirelmannsche Begriff der Kategorie, Fund. Math. vol. 26 (1936) pp. 123-136.

[7]

E. Čech, Sur les continus Péaniens unicohérents, Fund. Math. vol. 20 (1933) pp. 232-243.

[8]

S. Eilenberg, Transformations continues en circonférence et la topologie du plan, Fund. Math. vol. 26 (1936) pp. 61-112.

[9]

-, Sur les espaces multicohérents I, Fund. Math. vol. 27 (1936) pp. 153-190.

[10]

S. Eilenberg and E. W. Miller, Zero-dimensional families of sets, Bull. Amer. Math. Soc. vol. 47 (1941) pp. 921-923. MR 0005332 (3:138f)

[11]

P. Erdös and A. H. Stone, On the structure of linear graphs, Bull. Amer. Math. Soc. vol. 52 (1946) pp. 1087-1091. MR 0018807 (8:333b)

[12]

D. W. Hall and A. D. Wallace, Some invariants under monotone transformations, Bull. Amer. Math. Soc. vol. 45 (1939) pp. 294-295. MR 1563969

[13]

B. Knaster, Ein Zerlegungssatz über unikohärente Kontinua, Verhandlungen International Mathematische Kongress, Zurich, 1932 (2) p. 193.

[14]

B. Knaster and C. Kuratowski, Sur les ensembles connexes, Fund. Math. vol. 2 (1921) pp. 206-255.

[15]

C. Kuratowski, Sur les continus de Jordan et le théorème de M. Brouwer, Fund. Math. vol. 8 (1926) pp. 137-150.

[16]

-, Une charactérisation topologique de la surface de la sphère, Fund. Math. vol. 13 (1929) pp. 307-318.

[17]

R. L. Moore, Foundations of point-set theory, Amer. Math. Soc. Colloquium Publications, vol. 13, 1932. MR 0150722 (27:709)

[18]

-, Concerning upper semi-continuous collections of continua which do not separate a given continuum, Proc. Nat. Acad. Sci. U. S. A. vol. 10 (1924) pp. 356-360.

[19]

-, Concerning intersecting continua, Proc. Nat. Acad. Sci. U. S. A. vol. 28 (1942) pp. 544-550. MR 0007481 (4:146a)

[20]

M. H. A. Newman, Elements of the topology of plane sets of points, Cambridge University Press, 1939. MR 0044820 (13:483a)

[21]

B. Pospíšil, Trois notes sur les espaces abstraits, Publications de la Faculté des Sciences de l'Université Masaryk, No. 249, Brno, 1937.

[22]

M. Rueff, Über die Unikohärenz -dimensionaler Polyeder, Comment. Math. Helv. vol. 7 (1934) pp. 14-23. MR 1509497

[23]

A. H. Stone, Parcompactness and product spaces, Bull. Amer. Math. Soc. vol. 54 (1948) pp. 977-982. MR 0026802 (10:204c)

[24]

S. Straszewicz, Über die Zerschneidung der Ebene durch abgeschlossene Mengen, Fund. Math. vol. 7 (1925) pp. 159-187.

[25]

A. D. Wallace, Separation spaces, Ann. of Math. vol. 42 (1941) pp. 687-697. MR 0004756 (3:57a)

[26]

-, A characterization of unicoherence, Bull. Amer. Math. Soc. Abstract 48-11-345.

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G. T. Whyburn, A junction property of locally connected sets, Bull. Amer. Math. Soc. Abstract 37-9-309.

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-, Semi-closed sets and collections, Duke Math. J. vol. 2 (1936) pp. 685-690. MR 1545959

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-, Analytic topology, Amer. Math. Soc. Colloquium Publications, vol. 28, 1942.

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R. L. Wilder, A property which characterizes continuous curves, Proc. Nat. Acad. Sci. U. S. A. vol. 11 (1925) pp. 725-728.

[31]

W. A. Wilson, On the Phragmén-Brouwer theorem, Bull. Amer. Math. Soc. vol. 36 (1930) pp.111-114. MR 1561900

[33]

G. S. Young, The introduction of local connectivity by change of topology, Amer. J. Math. vol. 68 (1946) pp. 479-494. MR 0016663 (8:49c)