English

The infinitary n-cube shuffle

Algebraic Topology 2021-03-26 v1 Geometric Topology

Abstract

In this paper, we formalize the sense in which higher homotopy groups are "infinitely commutative." In particular, we both simplify and extend the highly technical procedure, due to Eda and Kawamura, for constructing homotopies that isotopically rearrange infinite configurations of disjoint nn-cubes within the unit nn-cube.

Keywords

Cite

@article{arxiv.2006.08738,
  title  = {The infinitary n-cube shuffle},
  author = {Jeremy Brazas},
  journal= {arXiv preprint arXiv:2006.08738},
  year   = {2021}
}

Comments

13 pages, 2 figures

R2 v1 2026-06-23T16:21:08.072Z