C-compact and functionally compact spaces

G. Goss and Giovanni Viglino

Vol. 37 (1971), No. 3, 677–681

DOI: 10.2140/pjm.1971.37.677

Abstract

In the first section of this note a question posed by G. Viglino is resolved by constructing a C-compact space which is not seminormal. In the second section some characterizations of C-compact and functionally compact spaces are introduced. In the final section, embedding theorems of spaces into C-compact and functionally compact spaces are noted.

Mathematical Subject Classification 2000

Primary: 54D30

Milestones

Received: 18 February 1971

Published: 1 June 1971