×

Maximal connected Hausdorff spaces. (English. Russian original) Zbl 0435.54018

Math. Notes 26, 974-978 (1980); translation from Mat. Zametki 26, 939-948 (1979).

MSC:

54D25 “\(P\)-minimal” and “\(P\)-closed” spaces
54D05 Connected and locally connected spaces (general aspects)

Citations:

Zbl 0165.253
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] J. P. Thomas, ?Maximal connected topologies,? J. Austral. Math. Soc.,8, No. 4, 700-705 (1968). · Zbl 0165.25302 · doi:10.1017/S1446788700006510
[2] E. Hewitt, ?A problem of set-theoretical topology,? Duke Math. J.,10, No. 2, 309-333 (1943). · Zbl 0060.39407 · doi:10.1215/S0012-7094-43-01029-4
[3] N. Bourbaki, General Topology, Addison-Wesley (1968).
[4] A. V. Arkhangel’skii and V. I. Ponomarev, Foundations of General Topology in Problems and Exercises [in Russian], Nauka, Moscow (1974).
[5] V. I. Ponomarev, ?On spaces coabsolute with metric ones,? Usp. Mat. Nauk,21, No. 4, 101-132 (1966).
[6] P. S. Aleksandrov, ?On bicompact completions of topological spaces,? Mat. Sb.,5, No. 2, 403-423 (1939).
[7] G. Choquet, ?Construction d’ultrafiltres sur N,? Bull. Sci. Math. Ser. 2,92, No. 1-2, 41-48 (1968). · Zbl 0157.53101
[8] J. A. Guthrie, D. F. Reynolds, H. E. Stone, ?Connected expansions of topologies,? Bull. Austral. Math. Soc.,9, No. 2, 259-265 (1973). · Zbl 0261.54002 · doi:10.1017/S000497270004315X
[9] J. P. Thomas, ?Maximal connected Hausdorff spaces,? Pac. J. Math.,57, No. 2, 581-583 (1975). · Zbl 0308.54002
[10] A. G. El’kin, ?Ultrafilters and indecomposable spaces,? Vestn. Mosk. Gos. Univ., Ser. Mat., Mekh.,5, 51-56 (1969).
[11] I. Baggs, ?A connected Hausdorff space which is not contained in a maximal connected space,? Pac. J. Math.,51, No. 1, 11-18 (1974). · Zbl 0295.54046
[12] A. G. El’kin, ?On decomposable spaces,? Dokl. Akad. Nauk SSSR,186, No. 1, 9-12 (1969).
[13] P. Simon, ?An example of maximal connected Hausdorff space,? Fund. Math.,100, No. 2, 157-163 (1978). · Zbl 0435.54017
[14] J. A. Guthrie, H. E. Stone, and N. L. Wage, ?Maximal connected expansions of the reals,? Proc. Am. Math. Soc.,69, No. 1, 159-165 (1978). · Zbl 0396.54001 · doi:10.1090/S0002-9939-1978-0467646-4
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.