Some notes concerning the homogeneity of Boolean algebras and Boolean spaces

DOI10.1016/S0166-8641(03)00103-2zbMath1024.06006arXivmath/0211399OpenAlexW2145115432MaRDI QIDQ1408727

Stefan Geschke, Saharon Shelah

Publication date: 25 September 2003

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

Full work available at URL: https://arxiv.org/abs/math/0211399

zbMATH Keywords

homogeneous spacefirst countableAronszajn treeinterval algebralinear orderhomogeneous Boolean algebra

Mathematics Subject Classification ID

Compactness (54D30) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Stone spaces (Boolean spaces) and related structures (06E15) Other combinatorial set theory (03E05) Structure theory of Boolean algebras (06E05)

Related Items (2)

Products and \(h\)-homogeneity ⋮ Noetherian type in topological products

Cites Work

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• A compact space with a measure that knows which sets are homeomorphic
• Homogeneous Boolean algebras may have non-simple automorphism groups
• Set theory. An introduction to independence proofs
• Nonhomogeneity of powers of Cor images
• Zero-dimensional and linearly ordered bicompacta: properties of homogeneity type
• On the topological structure of 0-dimensional topological groups
• A note on 0-dimensional compact groups
• Homogeneity in powers of zero-dimensional first-countable spaces
• Algorithms for Nielsen type periodic numbers of maps with remnant on surfaces with boundary and on bouquets of circles I

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