Functor \(\exp ^ c_ n\), absolute retracts and Hilbert space

DOI10.1007/BF01157018zbMath0611.54010OpenAlexW2015838742MaRDI QIDQ1087174

A. G. Savchenko

Publication date: 1985

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01157018

zbMATH Keywords

Vietoris topology\(\ell _ 1\)-manifoldabsolute (neighborhood) retract of the class of metrizable spaces

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Categorical methods in general topology (54B30) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (1)

Covariant functors in categories of topological spaces

Cites Work

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• 2^{𝑋} and 𝐶(𝑋) are homeomorphic to the Hilbert cube
• Hyperspaces Homeomorphic to Hilbert Space
• Hyperspaces of Peano continua are Hubert cubes
• Hilbert space is homeomorphic to the countable infinite product of lines
• Rétractes absolus et hyperespaces des continus
• Topologies on Spaces of Subsets

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