Resolving compacta by free $p$-adic actions

DOI10.4064/fm867-2-2021zbMath1491.55001arXiv1909.12648OpenAlexW3161810156MaRDI QIDQ5029017

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Publication date: 11 February 2022

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.12648

zbMATH Keywords

cohomological dimensionfree \(p\)-adic actions

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Dimension theory in algebraic topology (55M10) Compact groups of homeomorphisms (57S10)

Cites Work

• Resolving rational cohomological dimension via a Cantor group action
• \(p\)-adic transformation groups
• The Sullivan conjecture on maps from classifying spaces
• Light maps and extensional dimension
• On light mappings without perfect fibers on compacta
• On the unstable intersection conjecture
• On the mapping intersection problem
• Examples of p-adic transformation groups
• Constructing Compacta of Different Extensional Dimensions
• Extension theory of separable metrizable spaces with applications to dimension theory
• The Role of Countable Dimensionality in the Theory of Cell-Like Relations
• The Hilbert–Smith conjecture for three-manifolds
• Totally disconnected groups (not) acting on two-manifolds
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