Topology of Infinite-Dimensional Manifolds

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Exploring infinite-dimensional manifolds, this book delves into various model spaces, including Hilbert spaces, the Hilbert cube, and dense subspaces of Hilbert spaces. It examines universal spaces for absolute Borel spaces and the direct limits of both Euclidean spaces and Hilbert cubes. The text highlights the homeomorphism with the dual of a separable infinite-dimensional Banach space under bounded weak-star topology, providing a comprehensive view of the intricate relationships within infinite-dimensional topology.