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In this chapter we will discuss maps from one metric space to another. The special case of real- or complex-valued functions is of special importance and will be developed further in the next chapter. For now we focus on the most general definitions and properties. We start by introducing function limits and continuity, and then consider limits of sequences of functions.

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Functions on Metric Spaces

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  • 发表日期：

    2025年

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  • David Borthwick

摘要

In this chapter we will discuss maps from one metric space to another. The special case of real- or complex-valued functions is of special importance and will be developed further in the next chapter. For now we focus on the most general definitions and properties. We start by introducing function limits and continuity, and then consider limits of sequences of functions.