On intersections of compacta of complementary dimensions in Euclidean space

DOI10.1016/0166-8641(91)90089-5zbMath0719.54015OpenAlexW1996850488MaRDI QIDQ2640181

Dušan D. Repovš, Evgeny V. Shchepin, Alexander N. Dranishnikov

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0166-8641(91)90089-5

zbMATH Keywords

Eilenberg-MacLane complexessential mapsstable intersection of mapsdimension of products

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Embedding (54C25) Dimension theory in algebraic topology (55M10) Approximations in PL-topology (57Q55) General position and transversality (57Q65)

Related Items (17)

A counterexample to the extension of a product theorem in dimension theory to the noncompact case ⋮ The dimension problem for the product of infinite-dimensional spaces ⋮ Dimension of compact metric spaces ⋮ The generator rank of \(C^\ast \)-algebras ⋮ Asymptotic dimension ⋮ Moving compacta in \(\mathbb{R}{}^ m\) apart ⋮ On compacta that intersect unstably in Euclidean space ⋮ On Intersections of Compacta in Euclidean Space ⋮ Dimension of maps, universal spaces, and homotopy ⋮ On regularly branched maps ⋮ A deleted product criterion for approximability of maps by embeddings ⋮ Transversal intersection formula for compacta ⋮ Mappings which are stable with respect to the property \(\dim f(X)\geq k\) ⋮ On approximation and embedding problems for cohomological dimension ⋮ On unstable intersections of 2-dimensional compacta in Euclidean 4-space ⋮ On maps with unstable singularities ⋮ 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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• Intersections of separators and essential submanifolds of $I^N$
• On the stability of intersections of compacta in a Euclidean space
• HOMOLOGICAL DIMENSION THEORY
• THE EMBEDDING OF COMPACTA IN EUCLIDEAN SPACE

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