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Some remarks on non-separable gaps in P(ω)/fin

Publication date: 10.02.2015

Technical Transactions, 2014, Fundamental Sciences Issue 3 NP (17) 2014, pp. 9 - 12

https://doi.org/10.4467/2353737XCT.14.307.3395

Authors

Magdalena Grzech
Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology
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Titles

Some remarks on non-separable gaps in P(ω)/fin

Abstract

The Hausdorff gap is the well known example of a non-separable, increasingly ordered gap in P(ω)/fin. In this paper new construction of a non-separable gap in P(ω)/fin is presented.

References

Comfort W.W., Negrepontis S., The theory of ultrfilters, Springer Verlag, New York 1974.

Hausdorff Summen von Mengen F1, Fund. Math. 26, 1936, 241-255.

Hechler S., On existence of certain cofinal subsets of, Axiomatic Set Theory, T. Jech (ed.), Proc. Symp. Pure Math. vol. 13 II, 1974, 155-173.

Jech T., Set Theory, Academic Press, New York et al., 1978.

Kunen K., Weak P-points in N*, Colloq. Math. soc. Jano’s Bolyai 23, Topology, Budapest 1978, 741-749.

Rothberger F., Une remarque concernant l’hipotése du continu, Fund. Math. 31, 1939, 224-226.

Information

Information: Technical Transactions, 2014, Fundamental Sciences Issue 3 NP (17) 2014, pp. 9 - 12

Article type: Original article

Titles:

Polish:

Some remarks on non-separable gaps in P(ω)/fin

English:

Some remarks on non-separable gaps in P(ω)/fin

Authors

Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology

Published at: 10.02.2015

Article status: Open

Licence: None

Percentage share of authors:

Magdalena Grzech (Author) - 100%

Article corrections:

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Publication languages:

English

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<p> Some remarks on non-separable gaps in P(ω)/fin</p>