Strong cohomological dimension

• Autorzy: Dydak J. , Koyama A.
• 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 Inde X = dim[sub G] X if X is a separable metric ANR and G is a countable Abelian group. Hence dim[sub Z] X = dim X for any separable metric ANR X.

Słowa kluczowe

EN

cohomological dimension; strong cohomological dimension; ANR; generalized Eilenberg-Sieklucki theorem

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2008
• Tom: Vol. 56, no 2
• Strony: 183--189
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Dydak J.

autor

Koyama A.

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

Bibliografia

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