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@article{183044,
        author = {Abu Taher Siddique},
        title = {A Study on Recent Developments in Algebraic Topology and Its Applications},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {8},
        number = {1},
        pages = {1406-1410},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=183044},
        abstract = {Algebraic topology, a vital branch of mathematics, has seen significant evolution over the last few decades, expanding its scope from classical invariants such as homotopy and homology to modern computational and applied contexts. This study explores the recent developments in algebraic topology, focusing on advancements such as persistent homology, topological data analysis (TDA), and categorical homotopy theory. These developments have found wide applications in areas like data science, robotics, sensor networks, and even neuroscience. By reviewing the theoretical advancements and practical implementations, this study highlights the interdisciplinary relevance of algebraic topology and its potential to influence emerging fields of research.},
        keywords = {Algebraic Topology, Homology, Persistent Homology, Topological Data Analysis, Homotopy Theory, Categorical Topology, Applications of Topology},
        month = {August},
        }