A dichotomy for spaces near dimension zero

DOI10.1016/J.TOPOL.2023.108611zbMath1521.54019arXiv2304.09380OpenAlexW4378978199WikidataQ122091137 ScholiaQ122091137MaRDI QIDQ6110056

David Sumner Lipham

Publication date: 4 July 2023

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

Full work available at URL: https://arxiv.org/abs/2304.09380

zbMATH Keywords

\(\mathbb{R}\)-treesmooth fanalmost zero-dimensionalhereditarily locally connecteddimensional kernelweakly 1-dimensional

Mathematics Subject Classification ID

Continua and generalizations (54F15) Connected and locally connected spaces (general aspects) (54D05) Dimension theory in general topology (54F45)

Cites Work

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• On spaces without non-trivial subcontinua and the dimension of their products
• Totally disconnected subsets of chainable continua
• Cosmic dimensions
• Erdos space and homeomorphism groups of manifolds
• Fences, their endpoints, and projective Fraïssé theory
• On the Existence of Weakly n-Dimensional Spaces
• On the dimension of almost 𝑛-dimensional spaces
• On the Dimension of Certain Totally Disconnected Spaces
• On homeomorphism groups of Menger continua
• On cohesive almost zero-dimensional spaces
• Distinguishing endpoint sets from Erdős space
• Plane continua and totally disconnected sets of buried points
• A note on smooth fans
• Note on weakly \(n\)-dimensional spaces

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