Real-Valued Continuous Functions

Avishek Adhikari () and Mahima Ranjan Adhikari ()
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Avishek Adhikari: Presidency University, Department of Mathematics
Mahima Ranjan Adhikari: Institute for Mathematics, Bioinformatics, Information Technology and Computer Science (IMBIC)

Chapter Chapter 6 in Basic Topology 1, 2022, pp 391-446 from Springer

Abstract: Abstract This chapter continues the study of continuous functions from a topological space to the real line space $$ \mathbf{R}, $$ 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.

Date: 2022
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DOI: 10.1007/978-981-16-6509-7_6

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