Compactness in \(C_{\tau }(X, Y)\) for \(\tau = d,f, g\) and Stone-Weierstrass Approximation Theorem

  • Robert A. McCoyEmail author
  • Subiman Kundu
  • Varun Jindal
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)


In this chapter, we do a brief study of the compact subsets of C(XY) with respect to the uniform, fine and graph topologies, where Y is a metric space and prove the Stone-Weierstrass approximation theorem in detail.

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© The Author(s) 2018

Authors and Affiliations

  1. 1.Department of MathematicsVirginia Polytechnic Institute and State UniversityBlacksburgUSA
  2. 2.Department of MathematicsIndian Institute of Technology DelhiNew DelhiIndia
  3. 3.Department of MathematicsMalaviya National Institute of TechnologyJaipurIndia

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