Important matrix computations in finite topological spaces
作者：
Highlights：
• We give the matrix computation formulas of the interior, the closure, the boundary in a n-element topological space.
• We give the matrix computation formulas of the Kuratowski 14 sets in a n-element topological space.
• A Generalized 14 Sets Theorem is introduced and the matrix representations of the generalized 14 sets are also given.
• We summarized the calculation steps.
• We demonstrate the computations through an example.
摘要
•We give the matrix computation formulas of the interior, the closure, the boundary in a n-element topological space.•We give the matrix computation formulas of the Kuratowski 14 sets in a n-element topological space.•A Generalized 14 Sets Theorem is introduced and the matrix representations of the generalized 14 sets are also given.•We summarized the calculation steps.•We demonstrate the computations through an example.
论文关键词：Kuratowski 14 sets,Base matrix,Boolean matrix,Interior operator,Closure operator
论文评审过程：Received 12 April 2020, Accepted 15 November 2020, Available online 14 December 2020, Version of Record 14 December 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125808
