On the Postnikov towers for real and complex connective K-theory

Robert R. Bruner

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arXiv · 1208.2232

On the Postnikov towers for real and complex connective K-theory

Robert R. Bruner

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Abstract

Complexification, from real connective K-theory to complex connective K-theory, sits in a well-known cofiber sequence between multiplication by eta and a map related to realification. We show how this cofiber sequence factors as one goes up the Postnikov towers of ko and ku. There are 5 distinct cofiber sequences which then repeat under Bott periodicity.

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Robert R. Bruner. 2012-08-10. On the Postnikov towers for real and complex connective K-theory. https://arxiv.org/abs/1208.2232

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