A short proof that hyperspaces of Peano continua are absolute retracts

DOI10.1090/S0002-9939-01-06098-1zbMath0972.54009MaRDI QIDQ2718987

Sergey A. Antonyan

Publication date: 14 May 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

absolute retractPeano continuumcanonical covernerve

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (1)

Canonical covers and dimension of Z-sets in the Hilbert cube

Cites Work

• An extension of Tietze's theorem
• Rétractes absolus et hyperespaces des continus
• Hyperspaces of a Continuum
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