A note on singular homology groups of infinite products of compacta

• Autorzy: Kazuhiro Kawamura
• Języki publikacji: EN

Abstrakty

EN

Let n be an integer with n ≥ 2 and ${X_{i}}$ be an infinite collection of (n-1)-connected continua. We compare the homotopy groups of $Σ(∏_{i}X_{i})$ with those of $∏_{i}ΣX_{i}$ (Σ denotes the unreduced suspension) via the Freudenthal Suspension Theorem. An application to homology groups of the countable product of the n(≥ 2)-sphere is given.

Kategorie tematyczne

• 55N10: Singular theory
• 55Q15: Whitehead products and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 175
• Numer: 3
• Strony: 285-289

Daty

wydano

2002

Twórcy

autor

Kazuhiro Kawamura

• Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki 305-8071, Japan

Identyfikatory

DOI

10.4064/fm175-3-5