On the K-theory and homotopy theory of the Klein bottle group

Jens Harlander; Andrew Misseldine

doi:10.4310/HHA.2011.v13.n2.a5

On the K-theory and homotopy theory of the Klein bottle group

Jens Harlander
, Andrew Misseldine

Mathematics Department

Brigham Young University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	63-72
Number of pages	10
Journal	Homology, Homotopy and Applications
Volume	13
Issue number	2
DOIs	https://doi.org/10.4310/HHA.2011.v13.n2.a5
State	Published - 2011

Keywords

2-complex
Algebraic 2-complex
Chain complex
Geometric realization
Relation module
Stably free module

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10.4310/HHA.2011.v13.n2.a5

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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.",

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AU - Misseldine, Andrew

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KW - 2-complex

KW - Algebraic 2-complex

KW - Chain complex

KW - Geometric realization

KW - Relation module

KW - Stably free module

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DO - 10.4310/HHA.2011.v13.n2.a5

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JO - Homology, Homotopy and Applications

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On the K-theory and homotopy theory of the Klein bottle group

Abstract

Keywords

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