A study of the quasi covering dimension for finite spaces through the matrix theory

Authors : D N GEORGİOU, A C MEGARİTİS, F SERETİ

Pages : 111-125

View : 26 | Download : 6

Publication Date : 2017-02-01

Article Type : Research Paper

Abstract :We use matrices to study the dimension function dim$_q$, calling quasi covering dimension, for finite topological spaces, which is always greater than or equal to the classical covering dimension dim. In particular, we present algorithms in order to compute the  dim$_qinsert ignore into journalissuearticles values(X);$ of an arbitrary finite topological space $X$.
Keywords : Covering dimension, quasi covering dimension, quasi cover, dense set