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  1. 学部学科区分一覧
  2. 地域学部・地域学研究科
  1. 資料タイプ一覧
  2. 紀要論文
  1. 鳥取大学の刊行物
  2. 地域学論集 : 鳥取大学地域学部紀要
  3. 鳥取大学教育学部研究報告. 自然科学
  4. 46
  5. 2

位相空間の次元を変えるk-先導と写像

https://repository.lib.tottori-u.ac.jp/records/1236
https://repository.lib.tottori-u.ac.jp/records/1236
a5448732-089e-454f-9bef-876bc07e056e
Item type 紀要論文 / Departmental Bulletin Paper(1)
公開日 2021-11-25
タイトル
言語 ja
タイトル 位相空間の次元を変えるk-先導と写像
タイトル
言語 en
タイトル The k-leader and mappings which change the dimensions of topological spaces
言語
言語 eng
資源タイプ
資源タイプ departmental bulletin paper
アクセス権
アクセス権 metadata only access
アクセス権URI http://purl.org/coar/access_right/c_14cb
著者 笹田, 昭三

× 笹田, 昭三

WEKO 33231

笹田, 昭三

ja-Kana ササダ, ショウゾウ

Search repository
Sasada, Shozo

× Sasada, Shozo

WEKO 33232

en Sasada, Shozo

ja-Kana ササダ, ショウゾウ

Search repository
Ohta, Haruto

× Ohta, Haruto

WEKO 33233

en Ohta, Haruto

Search repository
著者所属(英)
en
Faculty of Education, Tottori University
著者所属(英)
en
Faculty of Education, Shizuoka University
抄録
内容記述タイプ Other
内容記述 For a Tychonoff space X, let kX be the k-leader of X, dim X the covering dimension of X and Ind X the large inductive dimension of X. We prove: (1) For every n = 1,2,3,...,∞, there exists a regular Lindelof space X such that kX ix normal and dim X = Ind X = 0<n=dim kX = Ind lX. This shows that the natural map k:kX →X, which is a proper refinable map, can lower the dimensions. (2)If cf(c) > ω1, then for every n = 1,2,3,...,∞, there exists an open and closed, continuous map f from a normal space X onto a normal space Y such that dim f^-1 (y) = Ind f^-1 (y) = 0 for each y∊Y and dim X = n > 0 = dim Y = Ind Y.
書誌情報 ja : 鳥取大学教育学部研究報告. 自然科学
en : The Journal of the Faculty of Education, Tottori University. Natural science

巻 46, 号 2, p. 51-60, 発行日 1997-12-25
出版者
出版者 鳥取大学教育学部
ISSN
収録物識別子タイプ ISSN
収録物識別子 03715965
書誌レコードID
収録物識別子タイプ NCID
収録物識別子 AN00174585
権利
権利情報 注があるものを除き、この著作物は日本国著作権法により保護されています。 / This work is protected under Japanese Copyright Law unless otherwise noted.
情報源
関連名称 鳥取大学教育学部研究報告. 自然科学. 1997. 46(2), 51-60.
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