Tkachenko, Mikhail(Universitat Politècnica de València, 2009-10-01)
[EN] We present an example of a compact Hausdorff self T1-complementary space without isolated points. This answers Question 3.11 from [A compact Hausdorff topology that is a T1-complementof itself, Fund. Math. 175 (2002), ...
[EN] It was demonstrated in [2] that the Alexandroff duplicate of the Čech-Stone compactification of the naturals is not extremally disconnected. The question was raised as to whether the Alexandroff duplicate of a ...
Almontashery, Khulod; Kalantan, Lutfi(Universitat Politècnica de València, 2016-10-03)
[EN] In this paper, we present some new results about the Alexandroff Duplicate Space. We prove that if a space X has the property P, then its Alexandroff Duplicate space A(X) may not have P, where P is one of the following ...
Caserta, Agata; Watson, Stephen(Universitat Politècnica de València, 2007-10-01)
[EN] We study some topological properties of the class of the Alexandroff duplicates and their subspaces. We give a characterization of metrizability and Lindel¨of properties of subspaces of the Alexandroff duplicate. This ...