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2011 On the $K$-theory and homotopy theory of the Klein bottle group
Jens Harlander, Andrew Misseldine
Homology Homotopy Appl. 13(2): 63-72 (2011).

Abstract

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.

Citation

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Jens Harlander. Andrew Misseldine. "On the $K$-theory and homotopy theory of the Klein bottle group." Homology Homotopy Appl. 13 (2) 63 - 72, 2011.

Information

Published: 2011
First available in Project Euclid: 30 April 2012

zbMATH: 1230.57003
MathSciNet: MR2846158

Subjects:
Primary: 18G35 , 20C07 , 57M05 , 57M20

Keywords: 2-complex , algebraic 2-complex , chain complex , geometric realization , relation module , stably free module

Rights: Copyright © 2011 International Press of Boston

Vol.13 • No. 2 • 2011
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