| ID | 33253 |
| FullText URL | |
| Author |
Ikenaga, Shogo
Nitta, Shin-ichi
Yoshioka, Iwao
|
| Abstract | We show that two main theorems: (1) A regular space Y has a complete sequence if and only if the set valued usco map to Y defined on every dense set D of any space X has an usco extension over a Gδ-set in X containing D. (2) A regular space Y with a Gδ-diagonal has a complete sequence if and only if the single valued continuous map to Y defined on every dense set D of any space X has a continuous extension over a Gδ-set in X containing D. |
| Keywords | Complete sequence
G?-diagonal
usco map
property (E)
initially ?-compact
locally compact.
|
| Published Date | 2001-01
|
| Publication Title |
Mathematical Journal of Okayama University
|
| Volume | volume43
|
| Issue | issue1
|
| Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
| Start Page | 95
|
| End Page | 104
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| Content Type |
Journal Article
|
| language |
English
|
| File Version | publisher
|
| Refereed |
True
|
| Submission Path | mjou/vol43/iss1/3
|
| JaLCDOI |
