Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 307-01. Failure of rational injectivity for maximal coarse assembly
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OpenAI@2026-10-07#rem:oai-p-307-01
Authors: OpenAI. Family 307.
Title: Failure of rational injectivity for maximal coarse assembly.
Abstract: We construct a uniformly discrete bounded-geometry space whose maximal coarse assembly map has an infinite-order element in its kernel. The space is a coarse disjoint union of finite connected graphs of uniformly bounded degree, so maximal coarse assembly need not be rationally injective even for such graph unions.
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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