On different types of cleavability of topological spaces

Journal of the Australian Mathematical Society

A. V. Arhangel'skii¹ 

[1] F. Cammaroto

关键词: 54A20;    54A25;    54C05;    54C10;    54E18;    54E30;   

DOI  :  10.1017/S1446788700038222

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

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.

【 授权许可】

Unknown