Abstract
This chapter continues the study of continuous functions from a topological space to the real line space \( \mathbf{R}, \) called the real-valued continuous functions, or, simply, real functions; such functions play a central role in topology and analysis. This chapter also studies uniform convergence of real-valued functions and characterizes normal spaces through separation by real-valued continuous functions.
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Adhikari, A., Adhikari, M.R. (2022). Real-Valued Continuous Functions. In: Basic Topology 1. Springer, Singapore. https://doi.org/10.1007/978-981-16-6509-7_6
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DOI: https://doi.org/10.1007/978-981-16-6509-7_6
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