Dynamical 2-Complexes

Dynamical 2-Complexes
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动力2-复合体

DOI:
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发表时间:
2001
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通讯作者:
F. Gautero
F. Gautero
中科院分区:
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文献类型:
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作者:
F. Gautero

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我们引入动力2-复合体类。这些复合物特别允许获得任何自由群自同构的拓扑表示。动态 2 复合体可以粗略地定义为特殊的多面体或标准 2 复合体,其 1 单元上具有满足两个简单组合属性的方向。这些方向使我们能够定义复形上的非奇异半流。与自由群自同构的关系是通过上同调准则来完成的,以通过紧凑图来叶化复合体。
We introduce the class of dynamical 2-complexes. These complexes particularly allow the obtaining of a topological representation of any free group automorphism. A dynamical 2-complex can be roughly defined as a special polyhedron or standard 2-complex equipped with an orientation on its 1-cells satisfying two simple combinatorial properties. These orientations allow us to define non-singular semi-flows on the complex. The relationship with the free group automorphisms is done via a cohomological criterion to foliate the complex by compact graphs.