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A Strengthened topological cardinal inequality

  • Sun Shu-Hao (a1) and Wang Yan-Ming (a2)

Abstract

A new cardinal inequality, |K (X)| ≤ 2L∗(X) · psw (X), is proved in this paper. It strengthens the result of D.K. burke and R. Hodel the |K (X)| ≤ 2e (X) · psw (X).

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References

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[1]Burke, D.K. and Hodel, R., “The number of compact subsets of a topological space”, Proc. Amer. Math Soc. 8 (1976), 363368.
[2]Engelking, R., “General Topology”, (Warsawa 1977), 181.
[3]Burke, D.K., A note on R.H. Bing's example G, in TopologyConference Virginia Polytechnic Institute and State University,March (1973) (Lecture Notes in Mathematics 375 Springer-Verlag 1974), 4752.
[4]Hodel, F.R., “Cardinal Functions I”, Handbook of Set-Theoretic Topology, ed. Kunen, K. and Vaughan, J.E. (North-Holland, 1984), 161.
[5]MuMing, Dai, “A topological space cardinal inequality involving the *Lindelöf number”, Acta Mathematica Sinica, 26 (1983), 731735.
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A Strengthened topological cardinal inequality

  • Sun Shu-Hao (a1) and Wang Yan-Ming (a2)

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