Fixed point sets of transformation groups of Menger manifolds, their pseudo-interiors and their pseudo-boundaries

DOI10.1016/0166-8641(95)00062-3zbMath0872.54025OpenAlexW2062619794MaRDI QIDQ1910721

Yutaka Iwamoto

Publication date: 15 October 1997

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00062-3

zbMATH Keywords

Menger manifoldfree actionsemifree actionMenger compactumpseudo-boundariespseudo-interiorscompact separable zero-dimensional group

Mathematics Subject Classification ID

Continua and generalizations (54F15) Transformation groups and semigroups (topological aspects) (54H15) Compact groups (22C05) Compact groups of homeomorphisms (57S10) Higher-dimensional local connectedness (54F35)

Related Items (3)

Fixed point sets of autohomeomorphisms of uncountable products ⋮ A new construction of semi-free actions on Menger manifolds ⋮ Compact groups and fixed point sets

Cites Work

• Menger spaces and inverse limits
• \(UV^ n\)-equivalence and \(n\)-equivalence
• Nöbeling spaces and pseudo-interiors of Menger compacta
• On topological infinite deficiency
• The ambient homeomorphy of an incomplete subspace of infinite-dimensional Hilbert spaces
• ON FREE ACTIONS OF ZERO-DIMENSIONAL COMPACT GROUPS
• The theory ofn-shapes
• Absolute extensors in dimensionnand dimension-raisingn-soft maps
• Fixed Point Sets of Homeomorphisms of Metric Products
• Free Actions of Zero-Dimensional Compact Groups on Menger Manifolds
• Semi-free actions of zero-dimensional compact groups on Menger compacta
• Characterizing 𝑘-dimensional universal Menger compacta
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