On weaker forms of the chain (F) condition and metacompactness-like covering properties in the product spaces

Date

2013-09-01

Author

Önal, Süleyman

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We introduce the concept of a family of sets generating another family. Then we prove that if X is a topological space and X has W = {W(x): x a X} which is finitely generated by a countable family satisfying (F) which consists of families each Noetherian of omega-rank, then X is metaLindelof as well as a countable product of them. We also prove that if W satisfies omega-rank (F) and, for every x a X, W(x) is of the form W (0)(x) a(a) W (1)(x), where W (0)(x) is Noetherian and W (1)(x) consists of neighbourhoods of x, then X is metacompact.

Subject Keywords

Metacompact, Rank, Noetherian, Product spaces, MetaLindelof

URI

https://hdl.handle.net/11511/37378

Journal

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.2478/s11533-013-0271-3

Collections

Department of Mathematics, Article

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Citation Formats

S. Önal, “On weaker forms of the chain (F) condition and metacompactness-like covering properties in the product spaces,” CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, pp. 1635–1642, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37378.