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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 5

Relative Metric Spaces

M. R MOLAEİ
M MALZİRİ
Pages
703–709
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

It is proved that observational topological entropy is an invariant object up to a relative conjugate relation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper the notion of a relative metric space, as a mathematical model compatible with a physical phenomena, is considered.
📊
Key Findings & Data:The notion of relative topological entropy for relative semi-dynamical systems on a relative metric space is studied.
💡
Conclusion & Impact:It is proved that observational topological entropy is an invariant object up to a relative conjugate relation.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Observer · Relative structure · Molecular lattice

Abstract

In this paper the notion of a relative metric space, as a mathematical model compatible with a physical phenomena, is considered. The notion of relative topological entropy for relative semi-dynamical systems on a relative metric space is studied. It is proved that observational topological entropy is an invariant object up to a relative conjugate relation.

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Cite This Article

MOLAEİ, M. R., MALZİRİ, M. (2022). Relative Metric Spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 5, 703–709. https://ajindex.com/articles/530556

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