Topology

Nielson Theory and the Reidemeister Trace

Authors: Hin Ching Hou
Comments: 5 Pages.

In this paper, we formalize the Nielsen and Reidemeister invariants, prove their equivalence, and highlight their utility by situating them within homological and categorical frameworks, making reference to foundational concepts from the Adams spectral sequence, Dyer—Lashof operations, and the homotopy theory of spectra.
Category: Topology