Title of article :
Strongly exactly n-resolvable spaces of arbitrarily large dispersion character
Author/Authors :
Feng، نويسنده , , Li، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2000
Abstract :
A topological space X is called strongly exactly n-resolvable if X is n-resolvable and no nonempty subset of X is (n+1)-resolvable. We prove that, in ZFC, for every infinite cardinal α and every integer n>0, there exist card-homogeneous, strongly exactly n-resolvable Tychonoff spaces of dispersion character α. This result answers affirmatively two questions of F. Eckertson (1997, Questions 2.7 and 4.5).
Keywords :
Strongly exactly n-resolvable space , Exactly n-resolvable space , Strongly irresolvable space , Irresolvable space , Resolvable space , Dispersion character
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications