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Class of topologies in spaces of continuous functions

  • I. I. Perepechai
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Abstract

Let S be an arbitrary topological space, and let C(S) be the space of continuous real-valued functions on S. A certain class of topologies on C(S) is studied. Some cases are indicated in which topologies of a given class on C(S) are topologies of uniform convergence on compact sets of S.

Keywords

Continuous Function Topological Space Uniform Convergence Arbitrary Topological Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • I. I. Perepechai
    • 1
  1. 1.Khar'kov State UniversityUSSR

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