{"id":"openai-math/Bi-Lipschitz-Absorption-of-c0-Without-a-Linear-Copy-of-c0","pdf":"https://github.com/openai/math/blob/main/preprints/Bi-Lipschitz-Absorption-of-c0-Without-a-Linear-Copy-of-c0-September-26-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Bi-Lipschitz-Absorption-of-c0-Without-a-Linear-Copy-of-c0-September-26-2026","tags":["banach-spaces","bi-lipschitz-embeddings","functional-analysis"],"score":0,"title":"Bi-Lipschitz Absorption of c0 Without a Linear Copy of c0","domain":"Functional analysis","family":"324","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.FA","summary":"We construct a separable real Banach space Z that contains no linear copy of c 0 , yet is bi-Lipschitz equivalent to $`Z\\oplus_\\infty c_0`$. The same space contains a bi-Lipschitz image of every separable metric space.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-26","reactions":{},"formalized":true,"family_title":"Lipschitz equivalent Banach spaces need not be linearly isomorphic"}