On certain groups of functions

Let C(X,G) denote the group of continuous functions from a topological space X into a topological group G with the pointwise multiplication and the compact-open topology. We show that there is a natural topology on the collection of normal subgroups Δ(X) of C(X,G) of the Mp={f∈C(X,G):f(p)=e} which i...

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Bibliographic Details
Main Author: J. S. Yang
Format: Article
Language:English
Published: Hindawi Limited 1980-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171280000373