We construct infinitely many chain homotopically distinct algebraic 2-complexes for the Klein bottle group and give various topological applications. We compare our examples to other examples in the literature and address the question of geometric realizability.
First published in Homology, Homotopy and Applications in volume 13, issue 2, 2011, published by International Press.
Harlander, Jens and Misseldine, Andrew. (2011). "On the K-Theory and Homotopy Theory of the Klein Bottle Group". Homology, Homotopy and Applications, 13(2), 63-72. http://dx.doi.org/10.4310/HHA.2011.v13.n2.a5