𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Closed maps on metric spaces

✍ Scribed by Yoshio Tanaka


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
733 KB
Volume
11
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Sequence-covering maps of metric spaces
✍ Shou Lin; Pengfei Yan πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 121 KB

Let f : X β†’ Y be a map. f is a sequence-covering map if whenever In this paper we investigate the structure of sequence-covering images of metric spaces, the main results are that (1) every sequence-covering, quotient and s-image of a locally separable metric space is a local β„΅ 0 -space; (2) every

Closed maps on spaces with point-countab
✍ Alexander Shibakov πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 134 KB

We prove a version of LaΕ‘nev's theorem for spaces with point-countable bases. Then we study the subspaces of closed images of regular spaces with point-countable bases and show that every such subspace has countable Ο€-character and a point-countable Ο€-base. The latter result is extended to a wider

Nonseparable analytic metric spaces and
✍ R.W. Hansell πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 657 KB

E. Michael and A.H. Stone have shown that any separable analytic metric space is an almostopen continuous image of the space ~2'. Hence the separable analytic metric spaces are precisely the quotients of the space of irrational numbers. Here it is shown that the nonseparable analytic metric spaces a

KKM mappings in metric spaces
✍ A. Amini; M. Fakhar; J. Zafarani πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 182 KB

We introduce the class of KKM-type mappings on metric spaces and establish some fixed point theorems for this class. We also obtain a generalized Fan's matching theorem, a generalized Fan-Browder's type theorem, and a new version of Fan's best approximation theorem.