Universal nowhere dense subsets of locally compact manifolds

DOI10.2140/AGT.2013.13.3687zbMath1281.57014arXiv1302.5651OpenAlexW3100573777MaRDI QIDQ373655

Taras Banakh, Dušan D. Repovš

Publication date: 18 October 2013

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5651

zbMATH Keywords

nowhere dense setmanifold modeled on a cubespongy setuniversal nowhere dense set

Mathematics Subject Classification ID

Topology of infinite-dimensional manifolds (57N20) Flatness and tameness of topological manifolds (57N45) Neighborhoods of submanifolds (57N40) Cellularity in topological manifolds (57N60)

Related Items (2)

Universal nowhere dense and meager sets in Menger manifolds ⋮ A stronger form of countable dense homogeneity of the plane

Cites Work

• Universal nowhere dense and meager sets in Menger manifolds
• On cellular decompositions of Hilbert cube manifolds
• Ends of maps. III: Dimensions 4 and 5
• Pointlike subsets of a manifold
• Stable homeomorphisms and the annulus conjecture
• Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
• Universal meager $F_\sigma$-sets in locally compact manifolds
• Topological characterization of the Sierpiński curve
• On CE-images of the Hubert cube and characterization of Q-manifolds
• Countable dense homogeneous spaces
• A positional characterization of the (n-1)-dimensional Sierpiński curve in $S^n$ (η ≠ 4)
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