论文标题

分层空间的组合不变ii

Combinatorial Invariants of Stratifiable Spaces II

论文作者

Kallel, Sadok, Labassi, Faten

论文摘要

在[16]的后续过程中,我们继续开发乐高类别的概念及其在分层空间和其Grothendieck类的计算中的许多应用程序。我们通过通过离散组[1]的“分层动作”,晶体学商的类别,多面体产品和多面体(或简单的配置)的类别[8]的类别[19]和Spess class of Empace of Empos of Emposs [8]来说明这种结构的有效性。

In this follow-up to [16], we continue developing the notion of a lego category and its many applications to stratifiable spaces and the computation of their Grothendieck classes. We illustrate the effectiveness of this construction by giving very short derivations of the class of a quotient by the "stratified action" of a discrete group [1], the class of a crystallographic quotient, the class of both a polyhedral product and a polyhedral (or simplicial) configuration space [8], the class of a permutation product [19] and, foremost, the class of spaces of $0$-cycles [11].

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