A new construction of semi-free actions on Menger manifolds

DOI10.1090/S0002-9939-00-05661-6zbMath0964.57035OpenAlexW1485332574MaRDI QIDQ2701657

Dušan D. Repovš, Sergei M. Ageev

Publication date: 19 February 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05661-6

zbMATH Keywords

Menger manifoldsemi-free actionabsolute extensor in finite dimension

Mathematics Subject Classification ID

Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Compact groups of homeomorphisms (57S10)

Related Items (2)

Topology of manifolds modeled on countable direct limits of Menger compacta ⋮ On orthogonal projections of Nöbeling spaces

Cites Work

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• Equivariant generalization of Michael's selection theorem
• Nöbeling spaces and pseudo-interiors of Menger compacta
• Fixed point sets of transformation groups of Menger manifolds, their pseudo-interiors and their pseudo-boundaries
• Free Actions of Zero-Dimensional Compact Groups on Menger Manifolds
• Semi-free actions of zero-dimensional compact groups on Menger compacta
• On the imbedding of systems of compacta in simplicial complexes
• Characterizing 𝑘-dimensional universal Menger compacta

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