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arXiv · 1208.2184

The realizability of operations on homotopy groups concentrated in two degrees

Hans-Joachim Baues·Martin Frankland
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Abstract

The homotopy groups of a space are endowed with homotopy operations which define the Π-algebra of the space. An Eilenberg-MacLane space is the realization of a Π-algebra concentrated in one degree. In this paper, we provide necessary and sufficient conditions for the realizability of a Π-algebra concentrated in two degrees. We then specialize to the stable case, and list infinite families of such Π-algebras that are not realizable.

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BibTeXRIS

Hans-Joachim Baues, Martin Frankland. 2014-07-09. The realizability of operations on homotopy groups concentrated in two degrees. https://doi.org/10.1007/s40062-014-0086-3

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