临界过程拓扑学,III(计算同调)

Marco Grandis
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摘要

定向代数拓扑学(Directed Algebraic Topology)研究的是具有某种定向形式的空间,包括非可逆过程的模型。在目前的扩展中,我们还希望涵盖临界过程、不可分解过程和不可停止过程。本系列的前几部分介绍了受控空间及其基本范畴。这里我们研究如何计算后者。这些空间的同调结构将在第四部分进行研究。
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The topology of critical processes, III (Computing homotopy)
Directed Algebraic Topology studies spaces equipped with a form of direction, to include models of non-reversible processes. In the present extension we also want to cover critical processes, indecomposable and unstoppable. The previous parts of this series introduced controlled spaces and their fundamental category. Here we study how to compute the latter. The homotopy structure of these spaces will be examined in Part IV.
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