Topology and Its Role in Modern Mathematical Modeling
DOI:
https://doi.org/10.64180/Keywords:
Topology; Mathematical Modeling; Topological Spaces; Dynamical Systems; Topological Data Analysis (TDA)Abstract
Topology, often described as “rubber-sheet geometry,” plays a crucial role in modern mathematical modeling by
providing a flexible framework for studying qualitative properties of structures that remain invariant under
continuous transformations. In contemporary research, topological methods are widely applied in diverse fields
such as physics, computer science, data analysis, engineering, and biological systems.
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