The largest proper congruence on S(X)

S(X) denotes the semigroup of all continuous selfmaps of the topological space X. In this paper, we find, for many spaces X, necessary and sufficient conditions for a certain type of congruence to be the largest proper congruence on S(X).

Bibliographic Details
Main Author: K. D. Magill
Format: Article
Language:English
Published: Hindawi Limited 1984-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171284000697