Journal of the Ramanujan Mathematical Society

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Special Maps on Spaces of Continuous Functions


Affiliations
1 Department of Mathematics and Statistics, Middle Tennessee State University, Murfreesboro, TN 37132, United States
     

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This paper studies some special maps on the set C (X) of continuous real-valued functions defined on a Tychonoff space X. C( X) carries the epi-topology (occasionally, the compact-open topology) and the maps range from multiplicative linear functionals to induced functions and algebra homomorphisms.

Keywords

Multiplicative Linear Functional, Function Space, Epi-Topology, Compact-Open Topology, Point-Open Topology, Algebra Homomorphism, Embedding, Compact-Covering Function, Z-Filter.
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  • Special Maps on Spaces of Continuous Functions

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Authors

Ibula Ntantu
Department of Mathematics and Statistics, Middle Tennessee State University, Murfreesboro, TN 37132, United States

Abstract


This paper studies some special maps on the set C (X) of continuous real-valued functions defined on a Tychonoff space X. C( X) carries the epi-topology (occasionally, the compact-open topology) and the maps range from multiplicative linear functionals to induced functions and algebra homomorphisms.

Keywords


Multiplicative Linear Functional, Function Space, Epi-Topology, Compact-Open Topology, Point-Open Topology, Algebra Homomorphism, Embedding, Compact-Covering Function, Z-Filter.