- Hacettepe Journal of Mathematics and Statistics
- Vol: 46 Issue: 1
- A study of the quasi covering dimension for finite spaces through the matrix theory
A study of the quasi covering dimension for finite spaces through the matrix theory
Authors : D. N. Georgiou, A. C. Megaritis, F. Sereti
Pages : 111-125
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Publication Date : 2017-02-01
Article Type : Research
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$_q(X)$ of an arbitrary finite topological space $X$.Keywords : Covering dimension, quasi covering dimension, quasi cover, dense set