A continuous localization and completion

研究成果: ジャーナルへの寄稿記事

4 引用 (Scopus)

抄録

The main goal of this paper is to construct a localization and completion of Bousfield-Kan type as a continuous functor for a virtually nilpotent CW-complex. Then the localizationand completion of an An-space is given to be an An-homomorphism between An-spaces. For any general compact Lie group, this gives a continuous equivariant localization and completion for a virtually nilpotent G-CW-complex. More generally, we have a continuous localization with respect to a system of core rings for a virtually nilpotent DCW-complex for a polyhedral categoryD.

元の言語英語
ページ(範囲)77-90
ページ数14
ジャーナルTransactions of the American Mathematical Society
320
発行部数1
DOI
出版物ステータス出版済み - 1 1 1990

Fingerprint

Lie groups
Completion
CW-complex
Compact Lie Group
Homomorphism
Equivariant
Functor
Ring

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

これを引用

A continuous localization and completion. / Iwase, Norio.

:: Transactions of the American Mathematical Society, 巻 320, 番号 1, 01.01.1990, p. 77-90.

研究成果: ジャーナルへの寄稿記事

@article{1b69f1d0fe1f4d39a82ab0ffbb7463c3,
title = "A continuous localization and completion",
abstract = "The main goal of this paper is to construct a localization and completion of Bousfield-Kan type as a continuous functor for a virtually nilpotent CW-complex. Then the localizationand completion of an An-space is given to be an An-homomorphism between An-spaces. For any general compact Lie group, this gives a continuous equivariant localization and completion for a virtually nilpotent G-CW-complex. More generally, we have a continuous localization with respect to a system of core rings for a virtually nilpotent DCW-complex for a polyhedral categoryD.",
author = "Norio Iwase",
year = "1990",
month = "1",
day = "1",
doi = "10.1090/S0002-9947-1990-1031978-1",
language = "English",
volume = "320",
pages = "77--90",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "1",

}

TY - JOUR

T1 - A continuous localization and completion

AU - Iwase, Norio

PY - 1990/1/1

Y1 - 1990/1/1

N2 - The main goal of this paper is to construct a localization and completion of Bousfield-Kan type as a continuous functor for a virtually nilpotent CW-complex. Then the localizationand completion of an An-space is given to be an An-homomorphism between An-spaces. For any general compact Lie group, this gives a continuous equivariant localization and completion for a virtually nilpotent G-CW-complex. More generally, we have a continuous localization with respect to a system of core rings for a virtually nilpotent DCW-complex for a polyhedral categoryD.

AB - The main goal of this paper is to construct a localization and completion of Bousfield-Kan type as a continuous functor for a virtually nilpotent CW-complex. Then the localizationand completion of an An-space is given to be an An-homomorphism between An-spaces. For any general compact Lie group, this gives a continuous equivariant localization and completion for a virtually nilpotent G-CW-complex. More generally, we have a continuous localization with respect to a system of core rings for a virtually nilpotent DCW-complex for a polyhedral categoryD.

UR - http://www.scopus.com/inward/record.url?scp=84966217928&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966217928&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-1990-1031978-1

DO - 10.1090/S0002-9947-1990-1031978-1

M3 - Article

VL - 320

SP - 77

EP - 90

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 1

ER -