论文标题

关于Elser的猜想和$ U $ -Nucleus Complex的拓扑

On Elser's conjecture and the topology of $U$-nucleus complex

论文作者

Chakraborty, Apratim, Mondal, Anupam, Mukherjee, Sajal, Saha, Kuldeep

论文摘要

Dorpalen-Barry等。通过将Elser数字的迹象的猜想证明是通过将其解释为一种被称为$ U $ -Nucleus Complex的抽象简单综合体的一定减少的Euler特征。我们证明了他们对$ u $ nucleus综合体的同源性提出的猜想。

Dorpalen-Barry et al. proved Elser's conjecture about sign of Elser's number by interpreting them as certain sums of reduced Euler characteristics of an abstract simplicial complex known as $U$-nucleus complex. We prove a conjecture posed by them regarding the homology of $U$-nucleus complex.

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