论文标题
莫尔斯·博特(Morse-Bott
Morse-Bott Theory on posets and an homological Lusternik-Schnirelmann Theorem
论文作者
论文摘要
我们开发了关于Posets的Morse-Bott理论,将离散的Morse-Bott理论概括为常规复合物和Posets的Morse理论。此外,我们证明了lusternik-Schnirelmann定理,特别是在Poset上进行一般比赛,特别是用于Morse-Bott功能。
We develop Morse-Bott theory on posets, generalizing both discrete Morse-Bott theory for regular complexes and Morse theory on posets. Moreover, we prove a Lusternik-Schnirelmann theorem for general matchings on posets, in particular, for Morse-Bott functions.