关联几何。II：对合、经典torsor和它们的同伦
Associative Geometries. II: Involutions, the classical torsors, and their homotopes
摘要：
对于所有的典型群（以及它们在无限维或一般基域或环上的类似群），我们构造了某些收缩，称为“同伦”。该结构是几何的，使用作为成分的关联几何的对合。我们证明了在适当的假设下，群及其同伦有一个标准半群完备化。
英文摘要：
For all classical groups (and for their analogs in infinite dimension or over general base fields or rings) we construct certain contractions, called "homotopes". The construction is geometric, using as ingredient involutions of associative geometries. We prove that, under suitable assumptions, the groups and their homotopes have a canonical semigroup completion.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
