Iterations and unions of star selection properties on topological spaces

Javier Casas-de La Rosa; William Chen-mertens; Sergio A. Garcia-balan

Makale detayları

Iterations and unions of star selection properties on topological spaces

Yazarlar:

Javier Casas-de La Rosa | William Chen-mertens | Sergio A. Garcia-balan

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.180-199

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341742

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 In this paper, we investigate what selection principles properties are possessed by small with respect to the bounding and dominating numbers unions of spaces with certain star selection principles. Furthermore, we give several results about iterations of these properties and weaker properties than paracompactness. In addition, we study the behaviour of these iterated properties on Psi-spaces. Finally, we show that, consistently, there is a normal star-Menger space that is not strongly star-Menger; this example answers a couple of questions posed in J. Casas-de la Rosa, S. A. Garcia-Balan, P. J. Szeptycki, Some star and strongly star selection principles, Topology Appl. 258, 572-587, 2019.

 In this paper, we investigate what selection principles properties are possessed by small with respect to the bounding and dominating numbers unions of spaces with certain star selection principles. Furthermore, we give several results about iterations of these properties and weaker properties than paracompactness. In addition, we study the behaviour of these iterated properties on Psi-spaces. Finally, we show that, consistently, there is a normal star-Menger space that is not strongly star-Menger; this example answers a couple of questions posed in J. Casas-de la Rosa, S. A. Garcia-Balan, P. J. Szeptycki, Some star and strongly star selection principles, Topology Appl. 258, 572-587, 2019.

 In this paper, we investigate what selection principles properties are possessed by small with respect to the bounding and dominating numbers unions of spaces with certain star selection principles. Furthermore, we give several results about iterations of these properties and weaker properties than paracompactness. In addition, we study the behaviour of these iterated properties on Psi-spaces. Finally, we show that, consistently, there is a normal star-Menger space that is not strongly star-Menger; this example answers a couple of questions posed in J. Casas-de la Rosa, S. A. Garcia-Balan, P. J. Szeptycki, Some star and strongly star selection principles, Topology Appl. 258, 572-587, 2019.

 In this paper, we investigate what selection principles properties are possessed by small with respect to the bounding and dominating numbers unions of spaces with certain star selection principles. Furthermore, we give several results about iterations of these properties and weaker properties than paracompactness. In addition, we study the behaviour of these iterated properties on Psi-spaces. Finally, we show that, consistently, there is a normal star-Menger space that is not strongly star-Menger; this example answers a couple of questions posed in J. Casas-de la Rosa, S. A. Garcia-Balan, P. J. Szeptycki, Some star and strongly star selection principles, Topology Appl. 258, 572-587, 2019.

Makale detayları

Iterations and unions of star selection properties on topological spaces

Yazarlar:

Javier Casas-de La Rosa | William Chen-mertens | Sergio A. Garcia-balan

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.180-199

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341742

pISSN:

2651-477X

Menger

star-Menger

strongly star-Menger

Hurewicz

star-Hurewicz

strongly star-Hurewicz

star selection principles

-spaces

iterated stars

Sayı

Makale detayları

Yazarlar: Javier Casas-de La Rosa | William Chen-mertens | Sergio A. Garcia-balan

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.180-199

Belge Tipi: Makale

Yayın Tarihi: 2/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001341742

pISSN: 2651-477X

Sayı

Yazarlar:

Javier Casas-de La Rosa | William Chen-mertens | Sergio A. Garcia-balan

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.180-199

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341742

pISSN:

2651-477X