We study perfect discrete Morse functions on closed, connected, oriented $n$-dimensional manifolds.We show how to compose such functions on connected sums of manifolds of arbitrary dimensions and how to decompose them on connected sums of closed oriented surfaces.
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机译:我们研究了封闭的,连通的,定向的$ n $维流形上的完美离散莫尔斯函数,展示了如何在任意维的流形的连通和上构成此类函数,以及如何在封闭的定向曲面的连接和上分解它们。
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