论文标题
（CO）由其相应poset产生的结构化空间的同源理论
(Co)homology theories for structured spaces arising from their corresponding poset
论文作者
论文摘要
在[1]中，我们介绍了“结构化空间”的概念，即在局部类似于各种代数结构的空间。在[2]和[3]中，我们研究了一些与这些空间相关的共同体理论。 In this paper we continue in this direction: while in [2] we mainly focused on cohomologies arising from $f_s$ and $h$, and in [3] we considered cohomologies for generalisations of objects which involved structured spaces, here we deal with (co)homologies coming from the poset associated to a structured space via an equivalence relation defined at the end of Section 4 in [1].更确切地说，我们将证明POSET的各种（CO）同源物也可以（在某些假设下）应用于结构化空间。
In [1] we introduced the notion of 'structured space', i.e. a space which locally resembles various algebraic structures. In [2] and [3] we studied some cohomology theories related to these space. In this paper we continue in this direction: while in [2] we mainly focused on cohomologies arising from $f_s$ and $h$, and in [3] we considered cohomologies for generalisations of objects which involved structured spaces, here we deal with (co)homologies coming from the poset associated to a structured space via an equivalence relation defined at the end of Section 4 in [1]. More precisely, we will show that various (co)homologies for posets can also be applied (under some assumptions) to structured spaces.
