Homology, Homotopy and Applications
Volume 13 (2011)
On the $K$-theory and homotopy theory of the Klein bottle group
Pages: 63 – 72
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.
2-complex; algebraic 2-complex; chain complex; stably free module; relation module; geometric realization
2010 Mathematics Subject Classification
18G35, 20C07, 57M05, 57M20