Abstract
An old theorem of Comfort and Ross to the effect that the product of any number of pseudocompact groups remains pseudocompact is generalized, and a brief survey of some known results of locally pseudocompact groups is given. The product of any number of pseudocompact regularly closed subspaces of topological groups is proved to be pseudocompact. A corollary is obtained that the classes of locally pseudocompact groups and of locally compact groups behave similarly with respect to products. Additional known facts concerning products of functionally bounded sets that are connected with the results are briefly surveyed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
