Homotopy nilpotency in p-regular loop spaces

Shizuo Kaji; Daisuke Kishimoto

doi:10.1007/s00209-008-0459-6

Homotopy nilpotency in p-regular loop spaces

Shizuo Kaji, Daisuke Kishimoto

Division for Intelligent Societal Implementation of Mathmatical Computation

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

We consider the problem how far from being homotopy commutative is a loop space having the homotopy type of the p-completion of a product of finite numbers of spheres. We determine the homotopy nilpotency of those loop spaces as an answer to this problem.

Original language	English
Pages (from-to)	209-224
Number of pages	16
Journal	Mathematische Zeitschrift
Volume	264
Issue number	1
DOIs	https://doi.org/10.1007/s00209-008-0459-6
Publication status	Published - Jan 2010

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/s00209-008-0459-6

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Homotopy nilpotency in p-regular loop spaces

Abstract

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