On intersections of compacta in Euclidean space: The metastable case

DOI10.21099/tkbjm/1496162280zbMath0830.54017OpenAlexW1505570248MaRDI QIDQ1327654

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

Publication date: 28 January 1996

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496162280

zbMATH Keywords

Freudenthal suspension theoremWhitehead productsmetastable rangeCasson finger movesChogoshvili conjecturedimension of product of compactaregularly branched mapsSpanier- Whitehead dualitystable intersection of maps

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 (9)

On the unstable intersection conjecture ⋮ Moving compacta in \(\mathbb{R}{}^ m\) apart ⋮ Atomic maps and the Chogoshvili-Pontrjagin claim ⋮ A deleted product criterion for approximability of maps by embeddings ⋮ Transversal intersection formula for compacta ⋮ Embeddings of polyhedra in \(\mathbb R^m\) and the deleted product obstruction ⋮ On approximation and embedding problems for cohomological dimension ⋮ On unstable intersections of 2-dimensional compacta in Euclidean 4-space ⋮ On the dimension of the product of two compacta and the dimension of their intersection in general position in Euclidean space

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