Realizing coalgebras over the Steenrod algebra

David Blanc

doi:10.1016/S0040-9383(00)00007-0

Realizing coalgebras over the Steenrod algebra

David Blanc

Department of Mathematics

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

Abstract

We describe algebraic obstruction theories for realizing an abstract (co)algebra K_* over the modp Steenrod algebra as the (co)homology of a topological space, and for distinguishing between the p-homotopy types of different realizations. The theories are expressed in terms of the Quillen cohomology of K_*.

Original language	English
Pages (from-to)	993-1016
Number of pages	24
Journal	Topology
Volume	40
Issue number	5
DOIs	https://doi.org/10.1016/S0040-9383(00)00007-0
State	Published - Sep 2001

Keywords

(Co)homology ring
Cohomology operations
Cosimplicial resolution
Primary 55S10
Quillen cohomology
Realization
Secondary 18G55
Steenrod algebra
Unstable coalgebra

ASJC Scopus subject areas

Geometry and Topology

Access to Document

10.1016/S0040-9383(00)00007-0

Cite this

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abstract = "We describe algebraic obstruction theories for realizing an abstract (co)algebra K* over the modp Steenrod algebra as the (co)homology of a topological space, and for distinguishing between the p-homotopy types of different realizations. The theories are expressed in terms of the Quillen cohomology of K*.",

keywords = "(Co)homology ring, Cohomology operations, Cosimplicial resolution, Primary 55S10, Quillen cohomology, Realization, Secondary 18G55, Steenrod algebra, Unstable coalgebra",

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AB - We describe algebraic obstruction theories for realizing an abstract (co)algebra K* over the modp Steenrod algebra as the (co)homology of a topological space, and for distinguishing between the p-homotopy types of different realizations. The theories are expressed in terms of the Quillen cohomology of K*.

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KW - Cohomology operations

KW - Cosimplicial resolution

KW - Primary 55S10

KW - Quillen cohomology

KW - Realization

KW - Secondary 18G55

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KW - Unstable coalgebra

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Realizing coalgebras over the Steenrod algebra

Abstract

Keywords

ASJC Scopus subject areas

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