Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A nonexistence result for Moore $ G$-spectra


Authors: S. R. Costenoble and S. Waner
Journal: Proc. Amer. Math. Soc. 113 (1991), 265-274
MSC: Primary 55N91; Secondary 55P47, 55P91
MathSciNet review: 1041013
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we show that certain equivariant Moore spectra do not exist. Specifically, we give an example of a Bredon coefficient system for which there is no corresponding equivariant Moore CW-spectrum that is bounded below. This nonexistence result is stronger than nonexistence results shown previously; nonexistence of an equivariant Moore spectrum of type $ T$ implies, in particular, that there are no equivariant Moore spaces of type $ (T,n)$ for any $ n$. As a key step, we show that there is no strictly commutative Hopf space structure on the loop space $ Q{S^0}$ agreeing up to infinite loop homotopy with the usual addition.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 55N91, 55P47, 55P91

Retrieve articles in all journals with MSC: 55N91, 55P47, 55P91


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1041013-3
PII: S 0002-9939(1991)1041013-3
Keywords: Infinite loop maps, equivariant, Moore spectra, Moore spaces, coefficient system
Article copyright: © Copyright 1991 American Mathematical Society