A continuous localization and completion

Norio Iwase

Mailing Adress: Faculty of Mathematics, Kyushu University, Motooka 744, Fukuoka 819-0395, Japan
E-mail Adress: iwase_AT__AT_math.kyushu-u.ac.jp

Authors.
myself

Journal.
Trans. A.M.S., 320(1990), 77--90.

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 localization and completion of an $A_n$ -space is given to be an $A_n$ -homomorphism between $A_n$ -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 $\bf D$ -CW- complex for a polyhedral category $\bf D$ .

A continuous localization and completion (adobe-pdf file, bytes)

Norio Iwase

Mailing Adress: Faculty of Mathematics, Kyushu University, Motooka 744, Fukuoka 819-0395, Japan E-mail Adress: iwase_AT__AT_math.kyushu-u.ac.jp

Mailing Adress: Faculty of Mathematics, Kyushu University, Motooka 744, Fukuoka 819-0395, Japan
E-mail Adress: iwase_AT__AT_math.kyushu-u.ac.jp