Glasnik Matematicki, Vol. 42, No.1 (2007), 189-194.

THE STABLE SHAPE OF COMPACT SPACES WITH COUNTABLE COHOMOLOGY GROUPS

Slawomir Nowak

Institute of Mathematics, University of Warsaw, ul. Banacha 2, 02-097 Warszawa, Poland
e-mail: snowak@mimuw.edu.pl

Abstract.   Let X be a compact Hausdorff space and q in Z be an integer such that the integral cohomology groups Hn(X;Z) are countable for n > q and the stable cohomotopy groups πsn(X) of X are countable for n ≥ q. Then there exists a compact metrizable compact space Y with the same stable shape as X.

2000 Mathematics Subject Classification.   55P55, 55P40, 55N05, 55Q07.

Key words and phrases.   Stable cohomotopy groups, stable shape.

Full text (PDF) (free access)

DOI: 10.3336/gm.42.1.13

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