𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on the representability of compact sets by real sequences

✍ Scribed by P. Frosini

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
335 KB
Volume
15
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

Consider

the set K of all nonempty compact subsets of a compact metric space (M, d), endowed with the Hausdorff metric. In this paper, we prove that K is isometric to a subset of loo(R). An approximation result is also proved.

πŸ“œ SIMILAR VOLUMES

A note on the real representations of SU
A note on the real representations of SU(2,C)
✍ Gerald Itzkowitz; Sheldon Rothman; Helen Strassberg πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 589 KB
On a representation of posets by fuzzy s
On a representation of posets by fuzzy sets
✍ Branimir Ε eΕ‘elja; Andreja TepavčeviΔ‡ πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 368 KB

The aim of the paper is to present an application of fuzzy sets in mathematics, namely, in the theory of ordered sets. An algorithm for the construction of P-fuzzy sets with distinct levels is given. In connection with this, every finite poset can be mapped, by an anti-isotone bijection, onto the po

A note on the representation of preferen
A note on the representation of preferences
✍ Margarita EstΓ©vez Toranzo; Javier GarcΓ­a-CutrΓ­n; Miguel A LΓ³pez LΓ³pez πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 387 KB