论文标题

涵盖与有限空间LS类别有关的基于基的数字

Covering-based numbers related to the LS-category of finite spaces

论文作者

Cárdenas, Manuel, Flores, Ramón, Quintero, Antonio, Villar-Liñán, Maria Trinidad

论文摘要

在本文中,考虑了有限空间的Lusternik-Schinrelmann和几何类别。我们定义了这些空间的新数值不变性,这些空间是从几何类别中得出的,并为其有效计算提供了算法方法。分析是通过结合图形和超图理论的空间,算法和工具的同位特征来进行的。我们还提供了许多示例。

In this paper, Lusternik-Schinrelmann and geometric category of finite spaces are considered. We define new numerical invariants of these spaces derived from the geometric category and present an algorithmic approach for its effective computation. The analysis is undertaken by combining homotopic features of the spaces, algorithms and tools from the theory of graphs and hypergraphs. We also provide a number of examples.

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