Some results on weaker forms of starn-CCC, weakly Lindelöf and starn-DCCC spaces

• Autores: Ricardo Cruz Castillo, Alejandro Ramírez Páramo, Jesús F. Tenorio
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 25, Nº. 2, 2024, págs. 363-374
• Idioma: inglés
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• Resumen

  • In this paper we provide some general results about topological spaces X which satisfy starn- P , weakly starn- P and almost starn- P, for  P∈ { κ ᴄᴄ , W κ L , ᴅ κ ᴄᴄ } , where κ is an infinite cardinal number. The particular cases when κ = ω , P  ∈ { ᴄᴄᴄ , weakly Lindelöf , ᴅ ᴄᴄᴄ } are obtained. Furthermore, for the same classes of spaces defined by such P, by applying Erdős-Radó's theorem and using the rank l-diagonal notion, we establish some cardinal inequalities.