Uniform structures on differential spaces
Diana Dziewa-Dawidczyk, Zbigniew Pasternak-Winiarski
TL;DR
This paper investigates how to define and analyze uniform structures on differential spaces using families of generators, providing a framework for understanding their topological and geometric properties.
Contribution
It introduces a method to construct and study uniform structures on differential spaces based on generator families, advancing the theoretical understanding of their structure.
Findings
Established conditions for uniform structures on differential spaces
Connected uniform structures to existing topological frameworks
Provided examples illustrating the construction of uniform structures
Abstract
The uniform structure on a differential space defined by a family of generators is considered.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Advanced Numerical Analysis Techniques