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

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Morava $ E$-theory of filtered colimits

Author: Mark Hovey
Journal: Trans. Amer. Math. Soc. 360 (2008), 369-382
MSC (2000): Primary 55N22, 55P42, 55T25
Published electronically: May 8, 2007
MathSciNet review: 2342007
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Morava $ E$-theory $ E_{n*}^{\vee }(-)$ is a much-studied theory in algebraic topology, but it is not a homology theory in the usual sense, because it fails to preserve coproducts (resp. filtered homotopy colimits). The object of this paper is to construct a spectral sequence to compute the Morava $ E$-theory of a coproduct (resp. filtered homotopy colimit). The $ E_{2}$-term of this spectral sequence involves the derived functors of direct sum (resp. filtered colimit) in an appropriate abelian category. We show that there are at most $ n-1$ (resp. $ n$) of these derived functors. When $ n=1$, we recover the known result that homotopy commutes with an appropriate version of direct sum in the $ K(1)$-local stable homotopy category.

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

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 55N22, 55P42, 55T25

Retrieve articles in all journals with MSC (2000): 55N22, 55P42, 55T25

Additional Information

Mark Hovey
Affiliation: Department of Mathematics, Wesleyan University, Middletown, Connecticut 06459

PII: S 0002-9947(07)04298-5
Received by editor(s): February 14, 2006
Published electronically: May 8, 2007
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia