Moduli of suspension spectra-Reference-Cited by-同舟云学术

Moduli of suspension spectra

Published:2004-03-23 Issue:2 Volume:357 Page:489-507
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Klein John

Abstract

For a 1 1 -connected spectrum E E , we study the moduli space of suspension spectra which come equipped with a weak equivalence to E E . We construct a spectral sequence converging to the homotopy of the moduli space in positive degrees. In the metastable range, we get a complete homotopical classification of the path components of the moduli space. Our main tool is Goodwillie’s calculus of homotopy functors.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2005-357-02/S0002-9947-04-03474-9/S0002-9947-04-03474-9.pdf

Reference25 articles.

1. Generalized Tate homology, homotopy fixed points and the transfer;Adem, A.,1989

2. Product and other fine structure in polynomial resolutions of mapping spaces;Ahearn, Stephen T.;Algebr. Geom. Topol.,2002

3. A generalization of Snaith-type filtration;Arone, Greg;Trans. Amer. Math. Soc.,1999

4. On suspensions and comultiplications;Berstein, I.;Topology,1963

5. [Ba]

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Higher stabilization and higher Freudenthal suspension;Transactions of the American Mathematical Society;2022-09-02

2. Integral models for spaces via the higher Frobenius;J AM MATH SOC;2021-11-19

3. Goodwillie Approximations to Higher Categories;Memoirs of the American Mathematical Society;2021-07

4. Spectral Algebra Models of Unstable $$v_n$$-Periodic Homotopy Theory;Bousfield Classes and Ohkawa's Theorem;2020

5. On topological cyclic homology;Acta Mathematica;2018