Applications of Topology in Achieving the UN Sustainable Development Goals
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DOI:
https://doi.org/10.65327/ans.v10i1.2586Keywords:
Sustainable Development Goals (SDGs), Topology ( a branch of Mathematics), Applied Mathematics, Network Optimization, Innovation in Design, Interdisciplinary Problem-SolvingAbstract
Topology, the mathematical study of properties preserved under continuous deformation, is often seen as purely abstract. However, its principles have significant real-world applications that align closely with the United Nations Sustainable Development Goals (SDGs). This paper explores how topological concepts—such as connectedness, continuity, and invariance—support innovations in areas including sustainable infrastructure, clean energy systems, resilient communication networks, and environmental monitoring. Examples include topology-based optimization in transportation planning (SDG 11: Sustainable Cities), knot theory applications in DNA research for healthcare (SDG 3: Good Health and Well-being), and sensor network layouts for climate monitoring (SDG 13: Climate Action). Case studies highlight how topological reasoning enhances efficiency, reduces resource waste, and fosters resilience in complex systems. By translating abstract mathematical ideas into practical strategies for addressing global challenges, this study demonstrates topology’s potential as a bridge between theoretical insight and sustainable development. The findings emphasize the importance of interdisciplinary collaboration, mathematical literacy, and innovative design thinking to achieve the SDGs. This work positions topology not merely as a branch of mathematics but as a versatile, impactful tool for building a more sustainable and equitable future.
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