v1-periodic homotopy groups of the Dwyer-Wilkerson space
Martin Bendersky, Donald M. Davis
TL;DR
This paper computes the v1-periodic homotopy groups of the Dwyer-Wilkerson space DI(4), an important example in the theory of 2-compact groups, providing new insights into its homotopical structure.
Contribution
It presents the first explicit calculation of v1-periodic homotopy groups for the Dwyer-Wilkerson space DI(4), an exotic 2-compact group.
Findings
Determined v1-periodic homotopy groups of DI(4)
Identified unique properties of DI(4) in homotopy theory
Enhanced understanding of exotic 2-compact groups
Abstract
The Dwyer-Wilkerson space DI(4) is the only exotic 2-compact group. We compute its v1-periodic homotopy groups.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models