International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 1, Pages 41-45
doi:10.1155/S0161171298000052

α-Scattered spaces

Abstract

α-scattered spaces, spaces whose α-topology is scattered, are introduced and used to slightly extend a recent result of A. V. Arhangel'skii and P. J. Collins [1]. Strong irresolvability of J. Foran and P. Liebnitz [6], is also characterized in terms ofthe α-topology, and it is shown that a recent theorem of Julian Dontchev [5] in essence maximally extends the Arhangel'skii-Collins result.