The class of -spaces is invariant of closed mappings with Lindelöf fibres
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Shu Hao Sun (1988)
Commentationes Mathematicae Universitatis Carolinae
Keiô Nagami (1980)
Fundamenta Mathematicae
Michael G. Charalambous (1988)
Commentationes Mathematicae Universitatis Carolinae
Yasushi Hirata, Yukinobu Yajima (2013)
Commentationes Mathematicae Universitatis Carolinae
It looks not useful to study the sup = max problem for extent, because there are simple examples refuting the condition. On the other hand, the sup = max problem for Lindelöf degree does not occur at a glance, because Lindelöf degree is usually defined by not supremum but minimum. Nevertheless, in this paper, we discuss the sup = max problem for the extent of generalized metric spaces by combining the sup = max problem for the Lindelöf degree of these spaces.
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