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19982003
most citedAxiomatic stable homotopy - a survey

2 citations · 2 across the 3 of their papers we have counts for

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math.AT20032 cited

Axiomatic stable homotopy - a survey

N. P. Strickland

We survey various approaches to axiomatic stable homotopy theory, with examples including derived categories, categories of (possibly equivariant or localized) spectra, and stable…

math.AT2003

Comodules and Landweber exact homology theories

Mark Hovey, Neil Strickland

We show that, if E is a Landweber exact ring spectrum, then the category of E_*E-comodules is equivalent to the localization of the category of BP_*BP-comodules with respect to the…

math.AT2003

Local cohomology of BP_*BP-comodules

Mark Hovey, Neil Strickland

In a previous paper, the authors showed that the category of E(n)_*E(n)-comodules is a localization of the category of BP_*BP-comodules. In this paper, we study the resulting local…

math.AT2002

The sigma orientation is an H-infinity map

Matthew Ando, Michael J. Hopkins, Neil P. Strickland

In "Elliptic spectra, the Witten genus, and the Theorem of the cube" (Invent. Math. 146 (2001)), the authors constructed a natural map from the Thom spectrum MU<6> to any elliptic…

math.AT2000

The Hopf Rings for KO and KU

Dena S. Cowen Morton, Neil P. Strickland

We compute the mod two homology Hopf rings of the spectra KO and KU. The spaces in these spectra are the infinite classical groups and their coset spaces, and their homology was fi…

math.AT2000

Products on MU-modules

Neil P. Strickland

We use the new categories of spectra and MU-modules constructed by Elmendorf, Kriz, Mandell and May to get improved results about multiplicative structures on spectra such as P(n)…