| The main results of this paper are as follow.Theorem 5 A Hausdorff N-compact space (LX , δ) is ultracompact if and only if its (LX , δf) is a weakly induced space or strong Hausdouff space.Theorem 7 Let (LX , δ) be a Hausdorff space. Then its F-compactness, strong F-compactness, N-compactness and ultracompactness are equivalent to each other if and only if (LX , δf) is a weakly induced space or strong Hausdorff space. |
