On an additive modification of the γ-property | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2021. № 74. DOI: 10.17223/19988621/74/1

On an additive modification of the γ-property

For Tikhonov spaces, a sequence (γ′_k) _k<ω of topological properties is defined, each of which is not stronger than the classical Gerlich - Nagy property (γ-property), and γ′_{k +1} follows from γ′_k. The behavior of the index k under standard topological operations is studied. As one of the main results, it was established that, in contrast to the γ-property, taking a topological sum does not take the sequence (γ′_k) _k<ω outside the sequence, but only leads to addition indices. In addition, the connection of the sequence (γ′_k) _k<ω with the Lindelof property was found, as well as some other facts.

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Keywords

ω-cover, γ-property, Gerlits-Nagy property, γ′_k -property, Lindelöf property

Authors

Name	Organization	E-mail
Badmaev Oleg O.	Tomsk State University	badmaev1995@bk.ru

Всего: 1

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