✦ LIBER ✦

The function space over the Helly compact is sigma-fragmentable

✍ Scribed by I. Kortezov

Book ID: 104295654
Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 82 KB
Volume: 106
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00071-1

No coin nor oath required. For personal study only.

✦ Synopsis

For a large class of compacts T which is closed under taking subspaces and contains all Corson compacts and the Helly space, we show that (C(T ), p) is sigma-fragmentable by the norm.

📜 SIMILAR VOLUMES

The partition function of the sigma mode

The partition function of the sigma model of the string on a compact two-space

✍ A.A. Tseytlin 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 666 KB

A Characterization of the Normed Vector

A Characterization of the Normed Vector Ordered Spaces of Continuous Functions Over a Compact Space

✍ Leopoldo Nachbin 📂 Article 📅 1949 🏛 John Hopkins University Press 🌐 English ⚖ 428 KB

Many function-spaces are not normal if t

Many function-spaces are not normal if the domain is not compact

✍ K. Wegenkittl 📂 Article 📅 1989 🏛 Springer 🌐 English ⚖ 346 KB

V. Neves [4] has proved that C (M,N) with Whitney's C-topology or Michor's extension of Schwartz's -topology is not a normal topological space provided that M is not compact. This result was shown by giving a closed embedding of Van Douwen's non-normal space using means of non-standard analysis. In