International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 4, Pages 717-720
doi:10.1155/S0161171290000965
Order-theoretical connectivity
T.A. Richmond1
and R. Vainio2
1Department of Mathematics, Western Kentucky University, Bowling Green 42101, KY, USA
2Department of Mathematics, Åbo Akademi, Åbo SF-20500, Finland
Abstract
Order-theoretically connected posets are introduced and applied to create the notion of T-connectivity in ordered topological spaces. As special cases T-connectivity contains classical connectivity, order-connectivity, and link-connectivity.