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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On intersection of compacta in Euclidean space. II

Author: A. N. Dranishnikov
Journal: Proc. Amer. Math. Soc. 113 (1991), 1149-1154
MSC: Primary 54C25; Secondary 55M10
MathSciNet review: 1060721
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Abstract: Suppose that $ X$ is a compact subset of $ n$-dimensional Euclidean space $ {\mathbb{R}^n}$. If every map $ f:Y \to {\mathbb{R}^n}$ of a compactum $ Y$ can be approximated by a map avoiding $ X$ then dim $ X \times Y < n$.

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PII: S 0002-9939(1991)1060721-1
Keywords: Compactum, cohomological dimension, Spanier-Whitehead duality, unstable intersection
Article copyright: © Copyright 1991 American Mathematical Society

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