A note on the lattices DP(X) and K(X)

作者：Das Tarun^*; Shah Sejal

来源：Bulletin of the Belgian Mathematical Society Simon Stevin, 2013, 20(2): 301-308.

• Density preserving map
• compactification
• Stone-Cech remainder

Using the order structure of the lattice DP (X) of density preserving continuous maps on a Hausdorff space X without isolated points, we describe closed nowhere dense subsets of X and, for a subspace A of X, we also deduce topological properties of the space X - A from the lattice theoretic properties of DP(X, A). Finally, we use them to obtain Thrivikraman's results concerning beta X - X and K(X) and, Magill's result concerning the automorphism group of the lattice K(X).

• 出版日期2013-6