Metric and Topological Spaces II

Igor Kriz and Aleš Pultr
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Igor Kriz: University of Michigan, Department of Mathematics
Aleš Pultr: Charles University, Department of Applied Mathematics (KAM) Faculty of Mathematics and Physics

Chapter 9 in Introduction to Mathematical Analysis, 2013, pp 213-235 from Springer

Abstract: Abstract For the remaining chapters of this text, we must revisit our foundations. Specifically, it is time to upgrade our knowledge of both metric and topological spaces. For example, in the upcoming discussion of manifolds in Chapter 12 , we will need separability. We will need a characterization of compactness by properties of open covers.

Keywords: Topological Space; Open Cover; Cauchy Sequence; Dense Subset; Accumulation Point (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-0348-0636-7_9

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