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The D(2) property for D8

The D(2) property for D8
The D(2) property for D8
Wall’s D2 problem asks if a cohomologically 2–dimensional geometric 3–complex is necessarily homotopy equivalent to a geometric 2–complex. We solve part of the problem when the fundamental group is dihedral of order 2n and give a complete solution for the case where it is D8 the dihedral group of order 8
D2 problem, low dimensional topology
1472-2747
517-528
Mannan, W.H.
226de07d-b065-4816-958f-23c1bde53069
Mannan, W.H.
226de07d-b065-4816-958f-23c1bde53069

Mannan, W.H. (2007) The D(2) property for D8. Algebraic & Geometric Topology, 7, 517-528. (doi:10.2140/agt.2007.7.517).

Record type: Article

Abstract

Wall’s D2 problem asks if a cohomologically 2–dimensional geometric 3–complex is necessarily homotopy equivalent to a geometric 2–complex. We solve part of the problem when the fundamental group is dihedral of order 2n and give a complete solution for the case where it is D8 the dihedral group of order 8

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Published date: January 2007
Keywords: D2 problem, low dimensional topology

Identifiers

Local EPrints ID: 69178
URI: http://eprints.soton.ac.uk/id/eprint/69178
DOI: doi:10.2140/agt.2007.7.517
ISSN: 1472-2747
PURE UUID: 9f35007c-7cde-4367-9ffe-118a5dc79b54

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Date deposited: 23 Oct 2009
Last modified: 13 Mar 2024 19:26

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Author: W.H. Mannan

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