✦ LIBER ✦

The compactness of E(X)

✍ Scribed by H. Román-Flores

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 232 KB
Volume: 11
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(98)00003-2

No coin nor oath required. For personal study only.

✦ Synopsis

the class of fuzzy compact sets on X, equipped with the generalized Hausdorff metric D which take the supremum on the Hausdorff distances between the corresponding a-level sets. The aim of this paper is, on the one hand, to analyze the compactness and separability of E(X) with respect to the compactness and separability of X, and on the other, to study these properties on the subclass Ec(X) of level-continuous fuzzy sets.

📜 SIMILAR VOLUMES

Weak Compactness in L∞ (μ, X)

✍ G. Schluchtermann 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 373 KB

For a finite and positive measure space \((\Omega, \Sigma, \mu)\) characterization of relatively weakly compact sets in \(L_{\infty}(\mu, X)\) the space of \(\mu\)-essentially bounded vector valued functions \(f: \Omega \rightarrow X\) are presented. Application to Banach space theory is given. C 19

E-compactness and continuous function sp

E-compactness and continuous function spaces

✍ W. Govaerts 📂 Article 📅 1978 🏛 Akadmiai Kiad 🌐 English ⚖ 537 KB

π(X) = δ(X) for compact X

✍ I. Juhász; S. Shelah 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 315 KB

A Sufficient Condition for Compactness o

A Sufficient Condition for Compactness of the ∂̄-Neumann Operator

✍ Jeffery D. McNeal 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 179 KB

We show that the existence of a certain family of plurisubharmonic functions on a bounded domain in C n implies that the % @ @-Neumann operator associated to the domain is compact. Our condition generalizes previous work of Catlin on compactness of the % @ @-Neumann operator.

Baireness of Ck(X) for locally compact X

✍ Gary Gruenhage; Daniel K. Ma 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 591 KB

It is an unsolved problem to characterize in terms of X when the space Ck(X) of continuous real-valued functions on X with the compact open topology is a Baire space. In this paper, we define and study a property called the Moving Off Property, and show that for a q-space X (e.g., for X locally comp

Cc(X) Spaces withXLocally Compact

✍ J. C. Ferrando; S. Moll 📂 Article 📅 2006 🏛 Institute of Mathematics, Chinese Academy of Scien 🌐 English ⚖ 170 KB