Аннотация:
In the present article the generalized rings $C_\infty(X)$ of all continuous functions on the expanded straight line are studied. The conditions under which $C_\infty(X)$ is a ring or a linear space are determined.
Ключевые слова и фразы:ring, continuous function, $\chi$-sequential space, $\chi$-normal space, $P$-space, extremally disconnected space.