On the homology of the Harmonic Archipelago
Geometric Topology
2012-03-21 v1 Algebraic Topology
General Topology
Abstract
We calculate the singular homology and \v{C}ech 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.
Keywords
Cite
@article{arxiv.1203.4274,
title = {On the homology of the Harmonic Archipelago},
author = {Umed H. Karimov and Dušan Repovš},
journal= {arXiv preprint arXiv:1203.4274},
year = {2012}
}