A non-discrete space X with $C_p(X)$ Menger at infinity

• Autores: Angelo Bella, Rodrigo Hernández Gutiérrez
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 20, Nº. 1, 2019, págs. 223-230
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In a paper by Bella, Tokgös and Zdomskyy it is asked whether there exists a Tychonoff space X such that the remainder of $C_p(X)$ in some compactification is Menger but not $\sigma$-compact. In this paper we prove that it is consistent that such space exists and in particular its existence follows from the existence of a Menger ultrafilter.