Homotopy nilpotency in p-regular loop spaces

Shizuo Kaji, Daisuke Kishimoto

Research output: Contribution to journalArticle

14 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 languageEnglish
Pages (from-to)209-224
Number of pages16
JournalMathematische Zeitschrift
Volume264
Issue number1
DOIs
Publication statusPublished - Jan 1 2010

Fingerprint

Loop Space
Nilpotency
Homotopy
Homotopy Type
Completion

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Homotopy nilpotency in p-regular loop spaces. / Kaji, Shizuo; Kishimoto, Daisuke.

In: Mathematische Zeitschrift, Vol. 264, No. 1, 01.01.2010, p. 209-224.

Research output: Contribution to journalArticle

Kaji, Shizuo ; Kishimoto, Daisuke. / Homotopy nilpotency in p-regular loop spaces. In: Mathematische Zeitschrift. 2010 ; Vol. 264, No. 1. pp. 209-224.
@article{21cd548db4ea4a7c82e8bd67651a8587,
title = "Homotopy nilpotency in p-regular loop spaces",
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.",
author = "Shizuo Kaji and Daisuke Kishimoto",
year = "2010",
month = "1",
day = "1",
doi = "10.1007/s00209-008-0459-6",
language = "English",
volume = "264",
pages = "209--224",
journal = "Mathematische Zeitschrift",
issn = "0025-5874",
publisher = "Springer New York",
number = "1",

}

TY - JOUR

T1 - Homotopy nilpotency in p-regular loop spaces

AU - Kaji, Shizuo

AU - Kishimoto, Daisuke

PY - 2010/1/1

Y1 - 2010/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=77950296687&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77950296687&partnerID=8YFLogxK

U2 - 10.1007/s00209-008-0459-6

DO - 10.1007/s00209-008-0459-6

M3 - Article

AN - SCOPUS:77950296687

VL - 264

SP - 209

EP - 224

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

SN - 0025-5874

IS - 1

ER -