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

Year 2017, Volume: 46 Issue: 1, 111 - 125, 01.02.2017

D. N. Georgiou A. C. Megaritis F. Sereti

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

References

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