极大对极集与广义对称空间的拓扑
Maximal Antipodal Sets and the Topology of Generalised Symmetric Spaces
摘要：
本文证明了陈永野关于对称空间中极大对映集基数的上同调刻画的几个长期存在的命题。我们实际上扩展这些approachures设置的广义对称空间的有限交换$p$ -群，并验证他们大多在这个更广泛的背景下借鉴技术从等变上同调理论。
英文摘要：
We prove several long-standing conjectures by Chen--Nagano on cohomological descriptions of the cardinalities of maximal antipodal sets in symmetric spaces. We actually extend these conjectures to the setting of generalised symmetric spaces of finite abelian $p$-groups and verify them mostly in this broader context drawing upon techniques from equivariant cohomology theory.
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。
