Families of Continua with the Property of Kelley, Arc Continua and Curves of Pseudo-Arcs

• Autores: Pawel Krupski
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 30, Nº 2, 2004, págs. 459-482
• Idioma: inglés
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• Resumen

  • It is shown that (1) the family of all continua in In, n>1, which have the property of Kelley (with the Hausdorff metric) is an absolute true Fsd-set; (2) the family of all arc continua in In, n>2, is coanalytic complete; (3) the families of all arcs, circles, solenoids of pseudo-arcs and all Menger or Sierpinski curves of pseudo-arcs in cubes are Borel sets which are not Gds-set.