An easy proof that β𝙉-𝙉-{p} is not normal
Abstract
We give a simple proof that, under CH, βN-N-{p} is not normal for any p∈βN-N.
References
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2. E.K. van Douwen, A basically disconnected normal space ? with |βΦ-Φ| = 1, Canad. J. Math. 31 (1979), 911-914.
3. E.K. van Douwen, J. van Mill, Parovićenko's characterization of βω-ω implies CH, Proc. Amer. Math. Soc. 72 (1978), 539-541.
4. N.J. Fine, L. Gillman, Extension of continuous functions in β𝙉, Bull. Amer. Math. Soc. 66 (1960), 376-381.
5. L. Gillman, The space β𝙉 and the continuum hypothesis, General Topology and its relations to Modern Analysis and Algebra 2 (Proc. Second Praque Topological Sympos., 1966) (1967), 144-146.
6. L. Gillman, M. Jerison, Rings of continuous functions, Van Nostrand 1960.
7. I.I. Parovičenko, On a universal bicompact of weight, Dokl. Akad. Nauk SSSR 150 (1963), 36-39 (Soviet Math. Dokl. 4 (1963), 592-595).
8. M. Rajagopalan, β𝙉-𝙉-{p} is not normal, J. Indian Math. Soc. 36 (1972), 173-176.
9. W. Rudin, Homogenity problems in the theory of Čech compactifications, Duke Math. J. 23 (1956), 409-419.
10. N.M. Warren, Properties of Stone-Čech compactifications of discrete spaces, Proc. Amer. Math. Soc. 33 (1972), 599-606.
van MillJ. (1986). An easy proof that β𝙉-𝙉-{p} is not normal. Annales Mathematicae Silesianae, 2, 81-84. Retrieved from https://www.journals.us.edu.pl/index.php/AMSIL/article/view/14326
Jan van Mill
Wiskunding Seminarium, Vrije Universitat Amsterdam, Holland Netherlands
Wiskunding Seminarium, Vrije Universitat Amsterdam, Holland Netherlands
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