Publication Date:
1978-01-01
Description:
For a topological spaceX, and a topological ringA, letC(X,A)be the ring of all continuous functions fromXintoAunder the pointwise multiplication. We show that the theorem there is a completely regular spaceYassociated with a given topological spaceXsuch thatC(Y,R)is isomorphic toC(X,R) may be extended to a fairly large class of topologlcal rings, and that, in the study of algebraic structure of the ringC(X,A), it is sufficient to studyC(X,R)ifAis path connected.
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
Permalink