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ID 33253
フルテキストURL
著者
Ikenaga, Shogo Nara National College of Technology
Nitta, Shin-ichi Shijonawate Gakuen Junior College
Yoshioka, Iwao Okayama University
抄録

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.

キーワード
Complete sequence
G?-diagonal
usco map
property (E)
initially ?-compact
locally compact.
発行日
2001-01
出版物タイトル
Mathematical Journal of Okayama University
43巻
1号
出版者
Department of Mathematics, Faculty of Science, Okayama University
開始ページ
95
終了ページ
104
ISSN
0030-1566
NCID
AA00723502
資料タイプ
学術雑誌論文
言語
英語
論文のバージョン
publisher
査読
有り
Submission Path
mjou/vol43/iss1/3
JaLCDOI