Continua whose hyperspace of subcontinua is infinite dimensional and a cone

Abstract

We determine several classes of continua whose hyperspaces of subcontinua are infinite dimensional and homeomorphic to cones over (usually) other continuum. In particular, we obtain many Peano continua with such a property.

Keywords

• Cone
• continuum
• convex metric
• Hilbert cube
• Hilbert cube manifold
• n-fold hyperspace