An example concerning the Menger-Urysohn formula-Reference-Cited by-同舟云学术

An example concerning the Menger-Urysohn formula

Published:2010-05-06 Issue:10 Volume:138 Page:3749-3752
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

van Mill Jan,Pol Roman

Abstract

We construct subsets A A , B B of the Euclidean space R 4 \mathbb {R}^{4} such that dim ( A ∪ B ) > dim ( A × B ) + 1 \hbox {dim}(A\cup B)>\hbox {dim}(A \times B)+1 . This provides a counterexample to a conjecture by E. Ščepin for subspaces of R 4 \mathbb {R}^{4} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2010-138-10/S0002-9939-10-10393-1/S0002-9939-10-10393-1.pdf

Reference13 articles.

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