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.
@article{bwmeta1.element.doi-10_2478_s11533-012-0038-2,
author = {Umed Karimov and Du\v san Repov\v s},
title = {On the homology of the Harmonic Archipelago},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {863-872},
zbl = {1250.54033},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0038-2}
}
Umed Karimov; Dušan Repovš. On the homology of the Harmonic Archipelago. Open Mathematics, Tome 10 (2012) pp. 863-872. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0038-2/
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