2020 | OriginalPaper | Chapter
Metric and Topological Spaces
Authors : Vladimir I. Bogachev, Oleg G. Smolyanov
Published in: Real and Functional Analysis
Publisher: Springer International Publishing
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In this chapter we consider the most important concepts of modern analysis — metric and topological spaces. Large parts of the chapter consist of definitions and examples (probably, already familiar to the reader from a course of calculus), moreover, some additional information about compact spaces needed for the sequel is given.