A Hilbert cube compactification of the B
β
Katsuro Sakai; Shigenori Uehara
π
Article
π
1999
π
Elsevier Science
π
English
β 787 KB
Let C(X) be the Banach space of continuous real-valued functions of an infinite compacturn X with the sup-norm, which is homeomorphic to the pseudo-interior s = (-I, I)"' of the Hilbert cube Q = [-1, llw. We can regard C(X) as a subspace of the hyperspace exp(X x E) of nonempty compact subsets of X