𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hausdorff compactifications of topological function spaces via the theory of continuous lattices

✍ Scribed by Martín Escardó

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
36 KB
Volume
40
Category
Article
ISSN
1571-0661

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A Hilbert cube compactification of the B
A Hilbert cube compactification of the Banach space of continuous functions
✍ Katsuro Sakai; Shigenori Uehara 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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

Homomorphisms of nearrings of continuous
Homomorphisms of nearrings of continuous functions from topological spaces into the asymmetric nearring
✍ K.D. Magill; Jr 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 131 KB

There is a unique (up to isomorphism) topological nearring N , whose additive group is the twodimensional Euclidean group, which has an identity but is not zero symmetric. For any topological space X, we denote by N (X) the nearring of all continuous functions from X to N where the operations on N (