论文标题
某些预订的拓扑空间的（CO）同源理论
A (co)homology theory for some preordered topological spaces
论文作者
论文摘要
简短说明的目的是为拓扑空间开发（CO）同源性理论，并提供专业预订。构建这种（CO）同源性的一种已知方法是在从预订开始的拓扑空间上定义部分顺序，然后考虑获得所获得的POSET的某些（CO）同源性；但是，我们将证明，上述预订的每个拓扑空间由两个截然部分组成（一个差异部分（一个称为“ Poset部分”，另一个称为“补充部分”，这通常不是Poset）：这表明先前方法的改进也考虑了Poset部分，这确实是我们在这里研究的。
The aim of this short note is to develop a (co)homology theory for topological spaces together with the specialisation preorder. A known way to construct such a (co)homology is to define a partial order on the topological space starting from the preorder, and then to consider some (co)homology for the obtained poset; however, we will prove that every topological space with the above preorder consists of two disjoint parts (one called 'poset part', and the other one called 'complementary part', which is not a poset in general): this suggests an improvement of the previous method that also takes into account the poset part, and this is indeed what we will study here.
