A non-đť’µ-compactifiable polyhedron whose product with the Hilbert cube is đť’µ-compactifiable
C. R. Guilbault
Fundamenta Mathematicae, Tome 167 (2001), p. 165-197 / Harvested from The Polish Digital Mathematics Library
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We construct a locally compact 2-dimensional polyhedron X which does not admit a đť’µ-compactification, but which becomes đť’µ-compactifiable upon crossing with the Hilbert cube. This answers a long-standing question posed by Chapman and Siebenmann in 1976 and repeated in the 1976, 1979 and 1990 versions of Open Problems in Infinite-Dimensional Topology. Our solution corrects an error in the 1990 problem list.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:282508 
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C. R. Guilbault. A non-đť’µ-compactifiable polyhedron whose product with the Hilbert cube is đť’µ-compactifiable. Fundamenta Mathematicae, Tome 167 (2001) pp. 165-197. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm168-2-6/