Volume 4, issue 2 (2004)

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An indecomposable $PD_3$–complex : II

Jonathan A Hillman

Algebraic & Geometric Topology 4 (2004) 1103–1109
 arXiv: math.AT/0412248
Abstract

We show that there are two homotopy types of $P{D}_{3}$–complexes with fundamental group ${S}_{3}{\ast }_{Z∕2Z}{S}_{3}$, and give explicit constructions for each, which differ only in the attachment of the top cell.

Keywords
indecomposable, Poincaré duality, $PD_3$–complex
Primary: 57P10
Secondary: 55M05