Continua whose hyperspace of subcontinua is infinite dimensional and a cone

Authors

  • S. Macı́as Instituto de Matemáticas, Circuito Exterior, Ciudad Universitaria CDMX, C.P. 04510, México
  • S.B. Nadler, Jr.

DOI:

https://doi.org/10.17398/2605-5686.38.2.205

Keywords:

convex metric, Hilbert cube, Hilbert cube manifold, n-fold hyperspace, Peano continuum, smooth fan

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.

Downloads

Download data is not yet available.

Downloads

Published

2023-12-01

Issue

Vol. 38 No. 2 (2023)

Section

General Topology and Measure Theory

License

Copyright (c) 2023 The authors

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 3.0 Unported License.

How to Cite

Continua whose hyperspace of subcontinua is infinite dimensional and a cone. (2023). Extracta Mathematicae, 38(2), 205-219. https://doi.org/10.17398/2605-5686.38.2.205