{"id":"openai-math/The-Hilbert-Smith-conjecture-in-every-finite-dimension","pdf":"https://github.com/openai/math/blob/main/preprints/The-Hilbert-Smith-conjecture-in-every-finite-dimension-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/The-Hilbert-Smith-conjecture-in-every-finite-dimension-September-23-2026","tags":["topology","transformation-groups","lie-groups","hilbert-smith"],"score":0,"title":"The Hilbert–Smith conjecture in every finite dimension","domain":"Topology","family":"304","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.GT","summary":"We prove the Hilbert–Smith conjecture in every finite dimension: every locally compact second-countable Hausdorff group acting faithfully and jointly continuously on a connected Hausdorff second-countable finite-dimensional topological manifold without boundary is a Lie group.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"The Hilbert–Smith conjecture in every dimension"}