Semi-free actions of zero-dimensional compact groups on Menger compacta

DOI10.1090/S0002-9939-97-04031-8zbMath0881.54040MaRDI QIDQ4372347

Katsuro Sakai

Publication date: 11 December 1997

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

zbMATH Keywords

fixed point setsemi-free action0-dimensional compact groupone-dimensional universal Menger compactum

Mathematics Subject Classification ID

Continua and generalizations (54F15) Transformation groups and semigroups (topological aspects) (54H15) Fixed-point and coincidence theorems (topological aspects) (54H25) Compact groups (22C05) Compact groups of homeomorphisms (57S10)

Related Items (3)

Fixed point sets of transformation groups of Menger manifolds, their pseudo-interiors and their pseudo-boundaries ⋮ A new construction of semi-free actions on Menger manifolds ⋮ Strong \(n\)-shape theory

Cites Work

• Menger spaces and inverse limits
• On embeddings of spaces into ANR and shapes
• Free Actions of Zero-Dimensional Compact Groups on Menger Manifolds
• Simplicial Spaces, Nuclei and m -Groups
• Characterizing 𝑘-dimensional universal Menger compacta
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