Abstract
The aim of this note is to show, using elementary submodels, the following result: “Let X be a space of countable tightness which is the continuous image of a product of separable spaces. Then X is separable”. As a corollary we obtain that if a space of countable tightness is the continuous closed image of a product of separable metrizable spaces then it is the continuous closed image of a separable metrizable space. For notation and terminology we refer the reader to the work of Engelking (1989) and Hodel (1984). Our approach to elementary submodels follows that of Watson (1994).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.