Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 305-03. A PD4 group without an aspherical manifold model
Manuscript map · lines 8435–8444
OpenAI@2026-10-07#rem:oai-p-305-03
Authors: OpenAI. Family 305.
Title: A PD4 group without an aspherical manifold model.
Abstract: We construct a finitely presented integral Poincaré duality group of dimension four that has a finite classifying space but is not the fundamental group of any closed aspherical topological four-manifold. This gives a negative answer to Wall's manifold-realization question in dimension four.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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