On Intersections of Compacta in Euclidean Space

DOI10.2307/2048506zbMath0743.54006OpenAlexW4240157607MaRDI QIDQ3971650

Alexander N. Dranishnikov

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2048506

zbMATH Keywords

cohomological dimensiontamenessembedding dimensiongeneral position of maps of compacta into \(\mathbb{R}^ n\)

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Embedding (54C25) Dimension theory in algebraic topology (55M10)

Related Items (8)

Approximate extension property of mappings ⋮ On compacta that intersect unstably in Euclidean space ⋮ On Alexandroff theorem for general Abelian groups ⋮ Transversal intersection formula for compacta ⋮ On approximation and embedding problems for cohomological dimension ⋮ Spaces with finitely generated cohomology ⋮ Extension of maps to nilpotent spaces. II ⋮ On the dimension of the product of two compacta and the dimension of their intersection in general position in Euclidean space

Cites Work

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• Construction of universal bundles. II
• Spanier-Whitehead duality and the stability of the intersection of compacta
• Moving compacta in \(\mathbb{R}{}^ m\) apart
• On unstable intersections of 2-dimensional compacta in Euclidean 4-space
• Finite-to-one mappings of topological spaces and cohomology manifolds
• On intersections of compacta of complementary dimensions in Euclidean space
• Intersections of separators and essential submanifolds of $I^N$
• On the stability of intersections of compacta in a Euclidean space
• Homological dimension theory
• Homotopy separators and mappings into cubes

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