矩形中正方形的构形空间

IF 0.6 3区数学 Q3 MATHEMATICS

Algebraic and Geometric Topology Pub Date : 2021-08-11 DOI:10.2140/agt.2021.21.1445

L. Plachta

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引用次数: 3

摘要

利用仿射多面体复体Qk上定义的同义函数，研究了矩形Q中大小为r的k个平方的构形空间Fk(Q,r)。函数的临界点用几何和组合术语来描述。我们还证明了在一定条件下，空间Fk(Q,r)是连通的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Configuration spaces of squares in a rectangle

The configuration space Fk(Q,r) of k squares of size r in a rectangle Q is studied with the help of the tautological function 𝜃 defined on the affine polytope complex Qk. The critical points of the function 𝜃 are described in geometric and combinatorial terms. We also show that under certain conditions, the space Fk(Q,r) is connected.

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来源期刊

Algebraic and Geometric Topology 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebraic and Geometric Topology is a fully refereed journal covering all of topology, broadly understood.