Strong Cohomological Dimension

• Autorzy: Jerzy Dydak , Akira Koyama
• Języki publikacji: EN

Abstrakty

EN

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 $Ind_{G} X = dim_{G} X$ if X is a separable metric ANR and G is a countable Abelian group. Hence $dim_{ℤ} X = dim X$ for any separable metric ANR X.

Kategorie tematyczne

• 55M10: Dimension theory
• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2008
• Tom: 56
• Numer: 2
• Strony: 183-189

Daty

wydano

2008

Twórcy

autor

Jerzy Dydak

• Department of Mathematics, University of Tennessee, Knoxville, TN 37996, U.S.A.

autor

Akira Koyama

• Department of Mathematics, Faculty of Sciences, Shizuoka University, Oya 836, Shizuoka 422-8529, Japan

Identyfikatory

DOI

10.4064/ba56-2-9