{"id":"openai-math/Failure-of-rational-injectivity-for-maximal-coarse-assembly","pdf":"https://github.com/openai/math/blob/main/preprints/Failure-of-rational-injectivity-for-maximal-coarse-assembly-October-5-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Failure-of-rational-injectivity-for-maximal-coarse-assembly-October-5-2026","tags":["coarse-geometry","k-theory","assembly-maps"],"score":0,"title":"Failure of rational injectivity for maximal coarse assembly","domain":"Topology","family":"307","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.GT","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-05","reactions":{},"formalized":false,"family_title":"Failure of rational injectivity for maximal coarse assembly"}