𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The space of compact subsets ofEd

✍ Scribed by Peter M. Gruber

Publisher
Springer
Year
1980
Tongue
English
Weight
160 KB
Volume
9
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

✦ Synopsis

Let Yd" be the space of compact subsets of E a, endowed with the Hausdorffmetric. It is shown that the isometries of ~ onto itself are the mappings generated by rigid motions of E a.

πŸ“œ SIMILAR VOLUMES

Embedding compact spaces into compact sp
Embedding compact spaces into compact spaces with few regular open Baire subsets
✍ George Delistathis πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 479 KB

It is shown that every compact space X can be embedded as a retract of a compact space Y so that every regular open Baire subset of Y is clopen. Furthermore, if X is a continuum, Y is a continuum as well and Y has only two regular open Baire subsets. This extends a result of V.V. FedorZuk.

Relative compact fuzzy subsets in fuzzy
Relative compact fuzzy subsets in fuzzy convergence spaces
✍ Gunther JΓ€ger πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 464 KB

Besides compactness the weaker notion of relative compactness plays an important role in topology. This paper generalizes a definition of relative compactness given by Chadwick [1] for fuzzy topological spaces to fuzzy convergence spaces as studied by the author ([4-6,8]). We prove that it is a "goo

Dynamics on Spaces of Compact Subsets wi
Dynamics on Spaces of Compact Subsets with Application to Brain Modeling
✍ Abraham Boyarsky; PaweΕ‚ GΓ³ra; Vadim Lioubimov πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 219 KB

We study dynamical systems on the space K E by considering transformations n Ε½ . Ε½ . : K E ΒͺK E which are constructed from image source data such as occur in n n the dynamics of the brain. In particular, we establish sufficient conditions for the Ε½ . existence of invariant measures on K E . Under c