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On different types of cleavability of topological spaces

  • A. V. Arhangel'skii (a1) and F. Cammaroto (a2)

Abstract

The notion of pointwise cleavability is introduced. We clarify those results concerning cleavability which can be or can not be generalized to the case of pointwise cleavability.

The importance of compactness in this theory is shown. Among other things we prove that t, ts, πx, the property to be Fréchet-Urysohn, radiality, biradiality, bisequentiality and so on are preserved by pointwise cleavability on the class of compact Hausdorff spaces.

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References

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[1]Arhangel'skii, A. V., [On cleavability over reals’, to appear.
[2]Arhangel'skii, A. V., ‘On the general concept of cleavability of topological spaces’, to appear.
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Keywords

MSC classification

On different types of cleavability of topological spaces

  • A. V. Arhangel'skii (a1) and F. Cammaroto (a2)

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