Alexandroff topologies viewed as closed sets in the Cantor cube


Abstract:

We present some results about the class of Alexandroff topologies (i.e. topologies where the intersection of arbitrary many open sets is open) from the perspective obtained when they are viewed as closed subsets of the Cantor cuber 2X (the power set of X with the product topology).

Año de publicación:

2005

Keywords:

  • Lattice of topologies
  • Alexandroff topologies

Fuente:

scopusscopus

Tipo de documento:

Article

Estado:

Acceso restringido

Áreas de conocimiento:

  • Optimización matemática

Áreas temáticas:

  • Matemáticas
  • Topología
  • Geometría