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

Pawel Krupski

• 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.