A non-𝒵-compactifiable polyhedron whose product with the Hilbert cube is 𝒵-compactifiable

• Autorzy: C. R. Guilbault
• Języki publikacji: EN

Abstrakty

EN

We construct a locally compact 2-dimensional polyhedron X which does not admit a 𝒵-compactification, but which becomes 𝒵-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.

Kategorie tematyczne

• 55M15: Absolute neighborhood retracts
• 57M20: Two-dimensional complexes
• 57Q05: General topology of complexes
• 57N20: Topology of infinite-dimensional manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2001
• Tom: 168
• Numer: 2
• Strony: 165-197

Daty

wydano

2001

Twórcy

autor

C. R. Guilbault

• Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, U.S.A.

Identyfikatory

DOI

10.4064/fm168-2-6