Ideals on countable sets: a survey with questions

• Uzcátegui Aylwin, Carlos ^[1]
  1. [1] Universidad Industrial de Santander

     Universidad Industrial de Santander

     Colombia

     
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 37, Nº. 1, 2019 (Ejemplar dedicado a: Revista Integración, temas de matemáticas), págs. 167-198
• Idioma: inglés
• DOI: 10.18273/revint.v37n1-2019009
• Títulos paralelos:
  • Ideales sobre conjuntos numerables: un revisión con preguntas
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    Un ideal sobre un conjunto X es una colección de subconjuntos de X cerrada bajo las operaciones de tomar uniones finitas y subconjuntos de sus elementos. Los ideales son una noción muy útil en topología y teoríade conjuntos y han sido estudiados desde hace mucho tiempo. Presentamos una revisión de algunos resultados sobre ideales en conjuntos numerables incluyendo preguntas abiertas sobre este tema.

  • English

    An ideal on a set X is a collection of subsets of X closed under the operations of taking finite unions and subsets of its elements. Ideals are a very useful notion in topology and set theory and have been studied for a long time. We present a survey of results about ideals on countable sets and include many open questions.

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