SavedAdd your journal

Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 1

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

D. N. GEORGIOU
A. C. MEGARİTİS
F. SERETİ
Pages
111–125
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In particular,we present algorithms in order to compute the dimq(X) of an arbitraryfinite topological space X.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We use matrices to study the dimension function dimq, calling quasicovering dimension, for finite topological spaces, which is always greaterthan or equal to the classical covering dimension dim.
📊
Key Findings & Data:We use matrices to study the dimension function dimq, calling quasicovering dimension, for finite topological spaces, which is always greaterthan or equal to the classical covering dimension dim.
💡
Conclusion & Impact:In particular,we present algorithms in order to compute the dimq(X) of an arbitraryfinite topological space X.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We use matrices to study the dimension function dimq, calling quasicovering dimension, for finite topological spaces, which is always greaterthan or equal to the classical covering dimension dim. In particular,we present algorithms in order to compute the dimq(X) of an arbitraryfinite topological space X.

🔖

Cite This Article

GEORGIOU, D. N., MEGARİTİS, A. C., SERETİ, F. (2022). A study of the quasi covering dimension for nite spaces through the matrix theory. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 1, 111–125. https://ajindex.com/articles/530007

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (4)

  1. Shiraki, M. On finite topological spaces, Rep. Fac. Sci. Kagoshima Univ. 1 1968 1-8.
  2. Pears, A. R. Dimension Theory of General Spaces, Cambridge University Press,
  3. Cambridge, England-New York-Melbourne, 1975. xii+428 pp. Georgiou, D. N., Megaritis, A. C. and Sereti, F. A topological dimension greater than or equal to the classical covering dimension, accepted for publication in Houston Journal of Mathematics. Eves, H. Elementary matrix theory, Reprint of the 1966 edition, Dover Books on Advanced Mathematics, Dover Publications, Inc., New York, 1980. xvi+325 pp. Engelking, R. Theory of dimensions, nite and in nite, Sigma Series in Pure Mathematics, 10. Heldermann Verlag, Lemgo, 1995. viii+401 pp. Georgiou, D. N. and Megaritis, A. C. An algorithm of polynomial order for computing the covering dimension of a nite space, Applied Mathematics and Computation, 231 (2014), 276-283.
  4. Georgiou, D. N. and Megaritis, A. C. Covering dimension and nite spaces, Applied Mathematics and Computation, 218 (2011), 3122-3130.