Cyclic comodules, the homology of j, and j-homology

Michael A. Hill

doi:10.1016/j.topol.2008.05.013

Cyclic comodules, the homology of j, and j-homology

Michael A. Hill

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We provide a somewhat simpler computation of the homology of the image of j spectrum using general techniques for comodules over a coalgebra. We also compute the homotopy of the spectrum H F_p ∧_j H F_p, the spectrum which plays the role of H F_p ∧ H F_p in the category of j-modules.

Original language	English (US)
Pages (from-to)	1730-1736
Number of pages	7
Journal	Topology and its Applications
Volume	155
Issue number	15
DOIs	https://doi.org/10.1016/j.topol.2008.05.013
State	Published - Sep 1 2008
Externally published	Yes

Keywords

Adams spectral sequence
Comodule
Connective j
Steenrod algebra

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10.1016/j.topol.2008.05.013

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abstract = "We provide a somewhat simpler computation of the homology of the image of j spectrum using general techniques for comodules over a coalgebra. We also compute the homotopy of the spectrum H Fp ∧j H Fp, the spectrum which plays the role of H Fp ∧ H Fp in the category of j-modules.",

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AB - We provide a somewhat simpler computation of the homology of the image of j spectrum using general techniques for comodules over a coalgebra. We also compute the homotopy of the spectrum H Fp ∧j H Fp, the spectrum which plays the role of H Fp ∧ H Fp in the category of j-modules.

KW - Adams spectral sequence

KW - Comodule

KW - Connective j

KW - Steenrod algebra

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EP - 1736

JO - Topology and its Applications

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IS - 15

ER -

Cyclic comodules, the homology of j, and j-homology

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Keywords

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