Abstract
This chapter, which is quite independent from the previous one, introduces topological spaces. It includes a detailed motivation for the definitions so as to assist in the digestion of the rather abstract concepts involved. The chapter is, by necessity, only a glimpse of the vast realms of topology. The presentation and the choice of concepts and results given are geared towards the applications of topology in Hilbert space theory while ensuring the reader develops a sufficient level of familiarity with the techniques (and the at times eccentric nature) of topology.
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Alabiso, C., Weiss, I. (2015). Topological Spaces. In: A Primer on Hilbert Space Theory. UNITEXT for Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-03713-4_3
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DOI: https://doi.org/10.1007/978-3-319-03713-4_3
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Online ISBN: 978-3-319-03713-4
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