Mod p decompositions of the loop spaces of compact symmetric spaces

Shizuo Kaji, Akihiro Ohsita, Stephen Theriault

Research output: Contribution to journalArticlepeer-review

Abstract

We give p–local homotopy decompositions of the loop spaces of compact, simply connected symmetric spaces for quasi-regular primes. The factors are spheres, sphere bundles over spheres and their loop spaces. As an application, upper bounds for the homotopy exponents are determined.

Original languageEnglish
Pages (from-to)1771-1811
Number of pages41
JournalAlgebraic and Geometric Topology
Volume15
Issue number3
DOIs
Publication statusPublished - Jun 19 2015

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Fingerprint Dive into the research topics of 'Mod p decompositions of the loop spaces of compact symmetric spaces'. Together they form a unique fingerprint.

Cite this