We show that there are two homotopy types of PD3–complexes with fundamental group S3 ∗Z∕2ZS3, and give explicit constructions for each, which differ only in the attachment of the top cell.
Hillman, Jonathan A  1
@article{10_2140_agt_2004_4_1103,
author = {Hillman, Jonathan A},
title = {An indecomposable {PD3{\textendash}complex} : {II}},
journal = {Algebraic and Geometric Topology},
pages = {1103--1109},
year = {2004},
volume = {4},
number = {2},
doi = {10.2140/agt.2004.4.1103},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2004.4.1103/}
}
Hillman, Jonathan A. An indecomposable PD3–complex : II. Algebraic and Geometric Topology, Tome 4 (2004) no. 2, pp. 1103-1109. doi: 10.2140/agt.2004.4.1103
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