Rigidity of hyperspaces

DOI10.1216/RMJ-2015-45-1-213zbMath1315.54012MaRDI QIDQ2340841

Rodrigo Hernández-Gutiérrez, Alejandro Illanes, Verónica Martínez-De-La-Vega

Publication date: 21 April 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1428412778

zbMATH Keywords

hyperspacerigiditycontinuumsmoothnessfanindecomposabilitydendroidsymmetric productLelek fanPeano continuumwireunique hyperspaceCantor fan

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continua and generalizations (54F15)

Related Items (13)

Fans having unique cones ⋮ Almost meshed locally connected continua have unique second symmetric product ⋮ Rigidity of the second symmetric product of the pseudo-arc ⋮ Mapping theorems for rigid continua and their inverse limits ⋮ Uniqueness and rigidity of the second symmetric product of standard universal dendrites ⋮ Framed continua have unique \(n\)-fold hyperspace suspension ⋮ Homogeneity degree of hyperspaces of arcs and simple closed curves ⋮ Finite graphs have unique second and third symmetric product suspension ⋮ Uncountable family of 0-rigid continua that are homeomorphic to their inverse limits ⋮ Unnamed Item ⋮ \(n\)-fold hyperspaces as cones ⋮ Almost meshed locally connected continua have unique third symmetric product ⋮ Meshed continua have unique second and third symmetric products

Cites Work

• Uniqueness of hyperspaces for Peano continua
• Making holes in hyperspaces
• Hyperspaces of Cones and Fans
• Fans are not c-determined
• Hereditarily indecomposable Hausdorff continua have unique hyperspaces 2X and Cn(X)
• A note on smooth fans
• Local connectedness in hyperspaces
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