On the homology of the Harmonic Archipelago

• Autorzy: Umed Karimov , Dušan Repovš
• Języki publikacji: EN

Abstrakty

EN

We calculate the singular homology and Čech cohomology groups of the Harmonic Archipelago. As a corollary, we prove that this space is not homotopy equivalent to the Griffiths space. This is interesting in view of Eda’s proof that the first singular homology groups of these spaces are isomorphic.

Słowa kluczowe

EN

Griffiths space; Harmonic Archipelago; Hawaiian Earring; Fundamental group; Trivial shape; Peano continuum; Wild topology

Kategorie tematyczne

• 55N15: K -theory
• 54F15: Continua and generalizations
• 54G20: Counterexamples
• 57M05: Fundamental group, presentations, free differential calculus

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 3
• Strony: 863-872

Daty

wydano

2012-06-01

online

2012-03-24

Twórcy

autor

Umed Karimov

• Academy of Sciences of Tajikistan

autor

Dušan Repovš

• University of Ljubljana

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0038-2