Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
Archives

On homotopy nilpotency of some suspended spaces

##plugins.themes.bootstrap3.article.sidebar##

pdf
Published Dec 17, 2021
DOI https://doi.org/10.15673/tmgc.v14i3.2032

##plugins.themes.bootstrap3.article.main##

Marek Golasinski

Abstract

A homological criterium from [Golasiński, M., On homotopy nilpotency of loop spaces of Moore spaces, Canad. Math. Bull. (2021), 1–12] is applied to investigate the homotopy nilpotency of some suspended spaces. We investigate the homotopy nilpotency of the wedge sum and smash products of Moore spaces M (A, n) with n ≥ 1. The homotopy nilpotency of homological spheres are studied as well.

Keywords:
Abelian group, Cartesian product, homology sphere, nilpotency class, n-fold commutator map, H-space, loop space, Moore space, locatiozation, Samelson product, smash product, suspension space, wedge sum, Whitehead product

##plugins.themes.bootstrap3.article.details##

How to Cite
Golasinski, M. (2021). On homotopy nilpotency of some suspended spaces. Proceedings of the International Geometry Center, 14(3), 164-186. https://doi.org/10.15673/tmgc.v14i3.2032
Issue
Vol 14 No 3 (2021)
Section
Papers

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgment of the work’s authorship and initial publication in this journal.

Provided they are the owners of the copyright to their work, authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal’s published version of the work (e.g., post it to an institutional repository, in a journal or publish it in a book), with an acknowledgment of its initial publication in this journal.

Authors are permitted and encouraged to post their work online (e.g., in institutional repositories, disciplinary repositories, or on their website) prior to and during the submission process.