Displaying similar documents to “Scattered spaces of point-countable type”

On spaces with point-countable k -systems

Iwao Yoshioka (2004)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

This paper deals with the behavior of M -spaces, countably bi-quasi- k -spaces and singly bi-quasi- k -spaces with point-countable k -systems. For example, we show that every M -space with a point-countable k -system is locally compact paracompact, and every separable singly bi-quasi- k -space with a point-countable k -system has a countable k -system. Also, we consider equivalent relations among spaces entried in Table 1 in Michael’s paper [15] when the spaces have point-countable k -systems. ...