Strong Cohomological Dimension

Jerzy Dydak; Akira Koyama

Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008), p. 183-189 / Harvested from The Polish Digital Mathematics Library

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Résumé

We characterize strong cohomological dimension of separable metric spaces in terms of extension of mappings. Using this characterization, we discuss the relation between strong cohomological dimension and (ordinal) cohomological dimension and give examples to clarify their gaps. We also show that $I n d_{G} X = d i m_{G} X$ if X is a separable metric ANR and G is a countable Abelian group. Hence $d i m_{ℤ} X = d i m X$ for any separable metric ANR X.

Publié le : 2008-01-01

Zbl 1156.55003

EUDML-ID : urn:eudml:doc:281141

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Jerzy Dydak; Akira Koyama. Strong Cohomological Dimension. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008) pp. 183-189. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba56-2-9/