Topology and Continuous Functions

Edwin Hewitt and Karl Stromberg
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Edwin Hewitt: The University of Washington
Karl Stromberg: The University of Oregon

Chapter Chapter Two in Real and Abstract Analysis, 1965, pp 53-103 from Springer

Abstract: Abstract The main goal of this text is to give a complete presentation of integration and differentiation. Plainly a detailed study of set-theoretic topology would be out of place here. Similarly, a detailed treatment of continuous functions is outside our purview. Nevertheless, topology and continuity can be ignored in no study of integration and differentiation having a serious claim to completeness.

Keywords: Topological Space; Limit Point; Cauchy Sequence; Relative Topology; Compact Hausdorff Space (search for similar items in EconPapers)
Date: 1965
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DOI: 10.1007/978-3-642-88044-5_2

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