Some results on spaces with -calibre
Wei-Feng Xuan, Wei-Xue Shi (2016)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
We prove that, assuming , if is a space with -calibre and a zeroset diagonal, then is submetrizable. This gives a consistent positive answer to the question of Buzyakova in Observations on spaces with zeroset or regular -diagonals, Comment. Math. Univ. Carolin. 46 (2005), no. 3, 469–473. We also make some observations on spaces with -calibre.