A note on star-Hurewicz spaces | Zendy

Yan-Kui Song | Zendy; Rui Li | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A note on star-Hurewicz spaces

Author(s) -

Yan-Kui Song,

Rui Li

Publication year - 2013

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1306091s

Subject(s) - star (game theory) , subspace topology , tychonoff space , mathematics , regular space , space (punctuation) , pure mathematics , mathematical analysis , topological space , computer science , operating system

In this paper, we show the following statements: (1) There exists a Tychonoff pseudocompact, star-Hurewicz space having a regular-closed subspace which is not star-Hurewicz; (2) Assuming ω1 < b, there exists a Tychonoff strongly star-Hurewicz (hence star-Hurewicz) space having a regular-closed Gδ-subspace which is not star-Hurewicz (hence not strongly star-Hurewicz); (3) An open Fσ-subset of a strongly star-Hurewicz space is strongly star-Hurewicz.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research