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Intrinsic characterizations of C-realcompact spaces

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Intrinsic characterizations of C-realcompact spaces

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Acharyya, SK.; Bharati, R.; Deb Ray, A. (2021). Intrinsic characterizations of C-realcompact spaces. Applied General Topology. 22(2):295-302. https://doi.org/10.4995/agt.2021.13696

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Título: Intrinsic characterizations of C-realcompact spaces
Autor: Acharyya, Sudip Kumar Bharati, Rakesh Deb Ray, Atasi
Fecha difusión:
Resumen:
[EN] c-realcompact spaces are introduced by Karamzadeh and Keshtkar in Quaest. Math. 41, no. 8 (2018), 1135-1167. We offer a characterization of these spaces X via c-stable family of closed sets in X by showing that  X is ...[+]
Palabras clave: C-realcompact spaces , Banaschewski compactification , C-stable family of closed sets , Ideals of closed sets , Initially θ-compact spaces
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2021.13696
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2021.13696
Agradecimientos:
University Grand Commission, New Delhi, research fellowship (F. No. 16-9 (June 2018)/2019 (NET/CSIR))
Tipo: Artículo

References

S. K. Acharyya and S. K. Ghosh, A note on functions in C(X) with support lying on an ideal of closed subsets of X, Topology Proc. 40 (2012), 297-301.

S. K. Acharyya and S. K. Ghosh, Functions in C(X) with support lying on a class of subsets of X, Topology Proc. 35 (2010), 127-148.

S. K. Acharyya, R. Bharati and A. Deb Ray, Rings and subrings of continuous functions with countable range, Queast. Math., to appear. https://doi.org/10.2989/16073606.2020.1752322 [+]
S. K. Acharyya and S. K. Ghosh, A note on functions in C(X) with support lying on an ideal of closed subsets of X, Topology Proc. 40 (2012), 297-301.

S. K. Acharyya and S. K. Ghosh, Functions in C(X) with support lying on a class of subsets of X, Topology Proc. 35 (2010), 127-148.

S. K. Acharyya, R. Bharati and A. Deb Ray, Rings and subrings of continuous functions with countable range, Queast. Math., to appear. https://doi.org/10.2989/16073606.2020.1752322

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O. A. S. Karamzadeh and Z. Keshtkar, On c-realcompact spaces, Queast. Math. 41, no. 8 (2018), 1135-1167. https://doi.org/10.2989/16073606.2018.1441919

M. Mandelkar, Supports of continuous functions, Trans. Amer. Math. Soc. 156 (1971), 73-83. https://doi.org/10.1090/S0002-9947-1971-0275367-4

R. M. Stephenson Jr, Initially k-compact and related spaces, in: Handbook of Set-Theoretic Topology, ed. Kenneth Kunen and Jerry E. Vaughan. Amsterdam, North-Holland, (1984) 603-632. https://doi.org/10.1016/B978-0-444-86580-9.50016-1

A. Veisi, $e_c$-filters and $e_c$-ideals in the functionally countable subalgebra of $C^*(X)$, Appl. Gen. Topol. 20, no. 2 (2019), 395-405. https://doi.org/10.4995/agt.2019.11524

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