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Michael Levin (2013)
Fundamenta Mathematicae
We show that the Cartesian product of three hereditarily infinite-dimensional compact metric spaces is never hereditarily infinite-dimensional. It is quite surprising that the proof of this fact (and this is the only proof known to the author) essentially relies on algebraic topology.
Hisao Kato (1992)
Czechoslovak Mathematical Journal
Manuel Castellet (1972)
Mathematische Zeitschrift
Michael Levin (2009)
Fundamenta Mathematicae
We prove a Z-set unknotting theorem for Nöbeling spaces.
M. Cencelj, J. Dydak, J. Smrekar, A. Vavpetič, Ž. Virk (2007)
Fundamenta Mathematicae
A countable CW complex K is quasi-finite (as defined by A. Karasev) if for every finite subcomplex M of K there is a finite subcomplex e(M) such that any map f: A → M, where A is closed in a separable metric space X satisfying XτK, has an extension g: X → e(M). Levin's results imply that none of the Eilenberg-MacLane spaces K(G,2) is quasi-finite if G ≠ 0. In this paper we discuss quasi-finiteness of all Eilenberg-MacLane spaces. More generally, we deal with CW complexes with finitely many...
Sławomir Nowak (1981)
A. Koyama, R. Sher (1997)
Fundamenta Mathematicae
Grave, Bernd (2006)
The New York Journal of Mathematics [electronic only]
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