Reseña de la búsqueda de hacer agujeros

• Autores: José G. Anaya, David Maya, Alejandro Fuentes Montes de Oca
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 36, Nº. 2, 2018, págs. 101-116
• Idioma: español
• DOI: 10.18273/revint.v36n2-2018003
• Títulos paralelos:
  • Review of the search for holes
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    Un espacio topológico conexo Z es unicoherente si para cualesquiera A y B cerrados y conexos de Z, tales que   Z = A ∪ B, se tiene que A ∩ B es conexa. Sea Z un espacio unicoherente: decimos que z ∈ Z agujera a Z si Z − {z} no es unicoherente. Un problema de reciente estudio es: dado un espacio topológico unicoherente H(Z), obtenido de un espacio topológico Z, ¿cuáles elementos A ∈ H(Z) lo agujerean? Este trabajo consiste en dar una reseña de los resultados que hasta la fecha se conocen de este problema.

  • English

    A connected topological space Z is unicoherent provided that if Z = A ∪ B, where A and B are closed connected subsets of Z, then A ∩ B is connected. Let Z be a unicoherent space: we say that z ∈ Z makes a hole in Z if Z − {z} is not unicoherent. A problem of recent study is: given a topological space unicoherent H(Z), obtained from a topological space Z, which elements A ∈ H(Z) makes a hole? This work consists in giving a review of the results known to date of this problem.

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