id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6592	Malkawi, Abed Al-Rahman	Compactness and Separability in MR-Metric Spaces with Applications to Deep Learning	2025	14	.pdf	application/pdf	4050	306	73	This paper establishes fundamental topological properties of MR-metric spaces, a sig- nificant generalization of conventional metric spaces characterized by an R-scaled tetrahedral in- equality. 2020 Mathematics Subject Classifications: 54E35, 54D30, 54E50, 46Nxx, 68T07 Key Words and Phrases: MR-metric spaces, compactness, separability, paracompactness, deep learning, global optimization, quantum computing, neural networks, topological properties, fixed point theory 1.	cache/ejpam-6592.pdf	txt/ejpam-6592.txt