Work

Unstable $K$-cohomology algebra is filtered lambda-ring

Year: 2002

Type: preprint

Abstract: Boardman, Johnson, and Wilson gave a precise formulation for an unstable algebra over a generalized cohomology theory. Modifying their definition slightly in the case of complex K-theory by taking into account its periodicity, we prove that an unstable algebra for complex $K$-theory is precisely a filtered $λ$-ring, and vice versa.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0209033

Author: Yau, Donald

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1762970948

Cites: 6

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Related to: 10