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"¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿ This monograph synthesizes over two decades of research achievements from the author's research team, establishing profound connections between topology and various mathematical disciplines. 1.¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿4¿¿¿¿¿¿¿¿¿¿¿¿¿¿4¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿2¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿ 1. Professor Yang Zhongqiang is a distinguished scholar in topology studies in China, specializing in infinite-dimensional topology, general topology, and topological dynamical systems. His accolades include the First Prize for Scientific and Technological Progress from Shaanxi Provincial Government. He has led four National Natural Science Foundation General Projects and four provincial/ministerial-level Natural Science Foundation General Projects, and was twice awarded research fellowships by the China Scholarship Council for international academic exchanges. 2.¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿ 2. The work condenses more than twenty years of original research by the author's team. Beyond systematizing established theories, it presents innovative insights and methodologies, serving as an invaluable reference for researchers in related fields. 3.¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿ 3. The book not only delves deeply into the topological structures of function spaces but also seamlessly interweaves these abstract concepts with other mathematical branches, offering readers both a profound theoretical framework and an expansive intellectual panorama. ¿¿¿¿ Brief Introduction Topological Structures of Function Spaces¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿ ""Topological Structures of Function Spaces"" is a groundbreaking new monograph that offers an in-depth exploration of the topological structures of function spaces. It systematically synthesizes relevant research achievements over the past two decades, including those by the author and other scholars, serving as an essential resource for contemporary topology studies. The content covered in this work not only provides critical insights for academic researchers in topology but also holds significant reference value for scholars in applied mathematics and related interdisciplinary fields.