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612-822-4611
Lebesgue Aspect & Weak G-Completeness Beyond Metrics: With Open Issues

Lebesgue Aspect & Weak G-Completeness Beyond Metrics: With Open Issues

Paperback

General Mathematics

ISBN10: 6208485762
ISBN13: 9786208485764
Publisher: LAP Lambert Academic Publishing
Published: Aug 29 2025
Pages: 192
Weight: 0.58
Height: 0.44 Width: 6.00 Depth: 9.00
Language: English
Over the past sixty years, the study of metric properties lying between compactness and completeness has significantly enriched classical analysis. In an effort to extend these investigations beyond metric spaces, this treatise explores two such intermediary properties-namely, the Lebesgue property and weak G-completeness-in various ramifications of topological and metric spaces. Beginning with a historical backdrop, it examines these properties in fuzzy metric spaces and further broadens their scope to generalized topological settings, including generalized quasi-uniform spaces and g-quasi metric spaces. This comprehensive study not only offers fresh insights into the nature of intermediate metric properties but also presents a collection of open problems, inviting further exploration in the field.

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General Mathematics